225626613698160 has 960 divisors, whose sum is σ = 819709907208192. Its totient is φ = 57632457028608.

The previous prime is 225626613698141. The next prime is 225626613698179. The reversal of 225626613698160 is 61896316626522.

225626613698160 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 2 + 6 + 613 + 6 + 9 + 8 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (225626613698141) and next prime (225626613698179).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12713498407 + ... + 12713516153.

Almost surely, 2^{225626613698160} is an apocalyptic number.

225626613698160 is a gapful number since it is divisible by the number (20) 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 225626613698160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409854953604096).

225626613698160 is an abundant number, since it is smaller than the sum of its proper divisors (594083293510032).

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

225626613698160 is a wasteful number, since it uses less digits than its factorization.

225626613698160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18112 (or 18094 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 225626613698160 in words is "two hundred twenty-five trillion, six hundred twenty-six billion, six hundred thirteen million, six hundred ninety-eight thousand, one hundred sixty".