225133022117564 has 144 divisors (see below), whose sum is σ = 463552739225856. Its totient is φ = 94552915161600.

The previous prime is 225133022117519. The next prime is 225133022117599. The reversal of 225133022117564 is 465711220331522.

It is a happy number.

It is a super-2 number, since 2×225133022117564² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 1934556299 + ... + 1934672669.

It is an arithmetic number, because the mean of its divisors is an integer number (3219116244624).

Almost surely, 2^{225133022117564} is an apocalyptic number.

It is an amenable number.

225133022117564 is an abundant number, since it is smaller than the sum of its proper divisors (238419717108292).

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

225133022117564 is a wasteful number, since it uses less digits than its factorization.

225133022117564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117264 (or 117203 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 225133022117564 in words is "two hundred twenty-five trillion, one hundred thirty-three billion, twenty-two million, one hundred seventeen thousand, five hundred sixty-four".