225966903201 has 32 divisors (see below), whose sum is σ = 360548778240. Its totient is φ = 139044297600.

The previous prime is 225966903199. The next prime is 225966903257. The reversal of 225966903201 is 102309669522.

225966903201 is a `hidden beast` number, since 22 + 596 + 6 + 9 + 0 + 32 + 0 + 1 = 666.

It is not a de Polignac number, because 225966903201 - 2¹ = 225966903199 is a prime.

It is a super-2 number, since 2×225966903201² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225966903601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5479981 + ... + 5521061.

It is an arithmetic number, because the mean of its divisors is an integer number (11267149320).

Almost surely, 2^225966903201 is an apocalyptic number.

It is an amenable number.

225966903201 is a deficient number, since it is larger than the sum of its proper divisors (134581875039).

225966903201 is a wasteful number, since it uses less digits than its factorization.

225966903201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56774 (or 56768 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 225966903201 in words is "two hundred twenty-five billion, nine hundred sixty-six million, nine hundred three thousand, two hundred one".