225480192264 has 64 divisors (see below), whose sum is σ = 630084470400. Its totient is φ = 74709991872.

The previous prime is 225480192229. The next prime is 225480192389. The reversal of 225480192264 is 462291084522.

225480192264 is a `hidden beast` number, since 2 + 25 + 480 + 1 + 92 + 2 + 64 = 666.

225480192264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 3089347 + ... + 3161490.

It is an arithmetic number, because the mean of its divisors is an integer number (9845069850).

Almost surely, 2^225480192264 is an apocalyptic number.

225480192264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225480192264 is an abundant number, since it is smaller than the sum of its proper divisors (404604278136).

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

225480192264 is a wasteful number, since it uses less digits than its factorization.

225480192264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6251019 (or 6251009 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 225480192264 in words is "two hundred twenty-five billion, four hundred eighty million, one hundred ninety-two thousand, two hundred sixty-four".