226585643251968 has 2304 divisors, whose sum is σ = 915152316825600. Its totient is φ = 53396719534080.

The previous prime is 226585643251963. The next prime is 226585643251999. The reversal of 226585643251968 is 869152346585622.

226585643251968 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 8 + 5 + 6 + 43 + 2 + 519 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×226585643251968³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 226585643251896 and 226585643251905.

It is not an unprimeable number, because it can be changed into a prime (226585643251963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 140474669530 + ... + 140474671142.

It is an arithmetic number, because the mean of its divisors is an integer number (397201526400).

Almost surely, 2^{226585643251968} is an apocalyptic number.

226585643251968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226585643251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457576158412800).

226585643251968 is an abundant number, since it is smaller than the sum of its proper divisors (688566673573632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226585643251968 is a wasteful number, since it uses less digits than its factorization.

226585643251968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1985 counting only the distinct ones).

The product of its digits is 1492992000, while the sum is 72.

The spelling of 226585643251968 in words is "two hundred twenty-six trillion, five hundred eighty-five billion, six hundred forty-three million, two hundred fifty-one thousand, nine hundred sixty-eight".