225689714040960 has 384 divisors, whose sum is σ = 866357298293760. Its totient is φ = 53762313461760.

The previous prime is 225689714040953. The next prime is 225689714041117. The reversal of 225689714040960 is 69040417986522.

225689714040960 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 89 + 7 + 140 + 409 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46291924 + ... + 50934483.

It is an arithmetic number, because the mean of its divisors is an integer number (2256138797640).

Almost surely, 2^{225689714040960} is an apocalyptic number.

225689714040960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225689714040960 is an abundant number, since it is smaller than the sum of its proper divisors (640667584252800).

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

225689714040960 is a wasteful number, since it uses less digits than its factorization.

225689714040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97226476 (or 97226461 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 225689714040960 in words is "two hundred twenty-five trillion, six hundred eighty-nine billion, seven hundred fourteen million, forty thousand, nine hundred sixty".