225365662431 has 96 divisors (see below), whose sum is σ = 424106242560. Its totient is φ = 112105389312.

The previous prime is 225365662421. The next prime is 225365662433. The reversal of 225365662431 is 134266563522.

225365662431 is a `hidden beast` number, since 2 + 2 + 5 + 36 + 566 + 24 + 31 = 666.

It is not a de Polignac number, because 225365662431 - 2⁵ = 225365662399 is a prime.

It is a super-2 number, since 2×225365662431² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225365662433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 910960 + ... + 1131626.

It is an arithmetic number, because the mean of its divisors is an integer number (4417773360).

Almost surely, 2^225365662431 is an apocalyptic number.

225365662431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

225365662431 is a deficient number, since it is larger than the sum of its proper divisors (198740580129).

225365662431 is a wasteful number, since it uses less digits than its factorization.

225365662431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220765 (or 220762 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The spelling of 225365662431 in words is "two hundred twenty-five billion, three hundred sixty-five million, six hundred sixty-two thousand, four hundred thirty-one".