226386241536 has 768 divisors, whose sum is σ = 793410508800. Its totient is φ = 55738368000.

The previous prime is 226386241513. The next prime is 226386241561. The reversal of 226386241536 is 635142683622.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×226386241536² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1072920471 + ... + 1072920681.

It is an arithmetic number, because the mean of its divisors is an integer number (1033086600).

Almost surely, 2^226386241536 is an apocalyptic number.

226386241536 is a gapful number since it is divisible by the number (26) 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 226386241536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396705254400).

226386241536 is an abundant number, since it is smaller than the sum of its proper divisors (567024267264).

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

226386241536 is a wasteful number, since it uses less digits than its factorization.

226386241536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 356 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The spelling of 226386241536 in words is "two hundred twenty-six billion, three hundred eighty-six million, two hundred forty-one thousand, five hundred thirty-six".