225978186772 has 192 divisors, whose sum is σ = 481157107200. Its totient is φ = 91828961280.

The previous prime is 225978186739. The next prime is 225978186787. The reversal of 225978186772 is 277681879522.

225978186772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225978186772² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171324729 + ... + 171326047.

It is an arithmetic number, because the mean of its divisors is an integer number (2506026600).

Almost surely, 2^225978186772 is an apocalyptic number.

It is an amenable number.

225978186772 is an abundant number, since it is smaller than the sum of its proper divisors (255178920428).

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

225978186772 is a wasteful number, since it uses less digits than its factorization.

225978186772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1584 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 64.

The spelling of 225978186772 in words is "two hundred twenty-five billion, nine hundred seventy-eight million, one hundred eighty-six thousand, seven hundred seventy-two".