45588122496 has 384 divisors, whose sum is σ = 156243110400. Its totient is φ = 12483072000.

The previous prime is 45588122483. The next prime is 45588122497. The reversal of 45588122496 is 69422188554.

45588122496 is a `hidden beast` number, since 4 + 5 + 58 + 81 + 22 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45588122497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35311611 + ... + 35312901.

It is an arithmetic number, because the mean of its divisors is an integer number (406883100).

Almost surely, 2^45588122496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45588122496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78121555200).

45588122496 is an abundant number, since it is smaller than the sum of its proper divisors (110654987904).

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

45588122496 is a wasteful number, since it uses less digits than its factorization.

45588122496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1483 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 45588122496 in words is "forty-five billion, five hundred eighty-eight million, one hundred twenty-two thousand, four hundred ninety-six".