225044936928 has 96 divisors (see below), whose sum is σ = 750149809920. Its totient is φ = 64298551680.

The previous prime is 225044936927. The next prime is 225044936953. The reversal of 225044936928 is 829639440522.

225044936928 is a `hidden beast` number, since 2 + 2 + 504 + 49 + 3 + 6 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225044936927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18598858 + ... + 18610953.

It is an arithmetic number, because the mean of its divisors is an integer number (7814060520).

Almost surely, 2^225044936928 is an apocalyptic number.

225044936928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

225044936928 is an abundant number, since it is smaller than the sum of its proper divisors (525104872992).

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

225044936928 is a wasteful number, since it uses less digits than its factorization.

225044936928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37209837 (or 37209823 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 225044936928 in words is "two hundred twenty-five billion, forty-four million, nine hundred thirty-six thousand, nine hundred twenty-eight".