45593184960 has 224 divisors, whose sum is σ = 160992921600. Its totient is φ = 12146826240.

The previous prime is 45593184919. The next prime is 45593184983. The reversal of 45593184960 is 6948139554.

45593184960 is a `hidden beast` number, since 4 + 5 + 593 + 1 + 8 + 49 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45593184897 and 45593184906.

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, 13571761 + ... + 13575119.

It is an arithmetic number, because the mean of its divisors is an integer number (718718400).

Almost surely, 2^45593184960 is an apocalyptic number.

45593184960 is a gapful number since it is divisible by the number (40) 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 45593184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80496460800).

45593184960 is an abundant number, since it is smaller than the sum of its proper divisors (115399736640).

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

45593184960 is a wasteful number, since it uses less digits than its factorization.

45593184960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4956 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 45593184960 in words is "forty-five billion, five hundred ninety-three million, one hundred eighty-four thousand, nine hundred sixty".