45757032048 has 480 divisors, whose sum is σ = 165678729216. Its totient is φ = 11457718272.

The previous prime is 45757032001. The next prime is 45757032067. The reversal of 45757032048 is 84023075754.

45757032048 is a `hidden beast` number, since 4 + 5 + 7 + 570 + 32 + 0 + 48 = 666.

45757032048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45757031994 and 45757032012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47318061 + ... + 47319027.

Almost surely, 2^45757032048 is an apocalyptic number.

45757032048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45757032048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82839364608).

45757032048 is an abundant number, since it is smaller than the sum of its proper divisors (119921697168).

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

45757032048 is a wasteful number, since it uses less digits than its factorization.

45757032048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 45757032048 in words is "forty-five billion, seven hundred fifty-seven million, thirty-two thousand, forty-eight".