226540762848 has 192 divisors, whose sum is σ = 676725295680. Its totient is φ = 73702047744.

The previous prime is 226540762841. The next prime is 226540762913. The reversal of 226540762848 is 848267045622.

226540762848 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 4 + 0 + 7 + 628 + 4 + 8 = 666.

It is a super-2 number, since 2×226540762848² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 226540762794 and 226540762803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226540762841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8825040 + ... + 8850672.

It is an arithmetic number, because the mean of its divisors is an integer number (3524610915).

Almost surely, 2^226540762848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226540762848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338362647840).

226540762848 is an abundant number, since it is smaller than the sum of its proper divisors (450184532832).

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

226540762848 is a wasteful number, since it uses less digits than its factorization.

226540762848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25898 (or 25884 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 226540762848 in words is "two hundred twenty-six billion, five hundred forty million, seven hundred sixty-two thousand, eight hundred forty-eight".