45584925120 has 224 divisors, whose sum is σ = 183787084800. Its totient is φ = 10419397632.

The previous prime is 45584925119. The next prime is 45584925143. The reversal of 45584925120 is 2152948554.

45584925120 is a `hidden beast` number, since 4 + 55 + 84 + 9 + 2 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316380 + ... + 437339.

Almost surely, 2^45584925120 is an apocalyptic number.

45584925120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45584925120 is an abundant number, since it is smaller than the sum of its proper divisors (138202159680).

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

45584925120 is a wasteful number, since it uses less digits than its factorization.

45584925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753752 (or 753736 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 45584925120 in words is "forty-five billion, five hundred eighty-four million, nine hundred twenty-five thousand, one hundred twenty".