225647185034160 has 120 divisors (see below), whose sum is σ = 760495255438464. Its totient is φ = 59958445317120.

The previous prime is 225647185034149. The next prime is 225647185034171. The reversal of 225647185034160 is 61430581746522.

225647185034160 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 4 + 71 + 8 + 503 + 4 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (225647185034149) and next prime (225647185034171).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×225647185034160² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225647185034097 and 225647185034106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 557446912 + ... + 557851551.

Almost surely, 2^{225647185034160} is an apocalyptic number.

225647185034160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225647185034160 is an abundant number, since it is smaller than the sum of its proper divisors (534848070404304).

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

225647185034160 is a wasteful number, since it uses less digits than its factorization.

225647185034160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115298763 (or 1115298754 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 225647185034160 in words is "two hundred twenty-five trillion, six hundred forty-seven billion, one hundred eighty-five million, thirty-four thousand, one hundred sixty".