226520570102256 has 200 divisors, whose sum is σ = 662730761088000. Its totient is φ = 74691900731520.

The previous prime is 226520570102251. The next prime is 226520570102261. The reversal of 226520570102256 is 652201075025622.

226520570102256 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 2 + 0 + 570 + 1 + 0 + 22 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (226520570102251) and next prime (226520570102261).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226520570102251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41752795 + ... + 46865093.

It is an arithmetic number, because the mean of its divisors is an integer number (3313653805440).

Almost surely, 2^{226520570102256} 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 226520570102256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331365380544000).

226520570102256 is an abundant number, since it is smaller than the sum of its proper divisors (436210190985744).

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

226520570102256 is a wasteful number, since it uses less digits than its factorization.

226520570102256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112689 (or 5112674 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 226520570102256 in words is "two hundred twenty-six trillion, five hundred twenty billion, five hundred seventy million, one hundred two thousand, two hundred fifty-six".