45537456624 has 160 divisors (see below), whose sum is σ = 130363084800. Its totient is φ = 13582356480.

The previous prime is 45537456599. The next prime is 45537456647. The reversal of 45537456624 is 42665473554.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10947057 + ... + 10951215.

It is an arithmetic number, because the mean of its divisors is an integer number (814769280).

Almost surely, 2^45537456624 is an apocalyptic number.

45537456624 is a gapful number since it is divisible by the number (44) 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 45537456624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65181542400).

45537456624 is an abundant number, since it is smaller than the sum of its proper divisors (84825628176).

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

45537456624 is a wasteful number, since it uses less digits than its factorization.

45537456624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503 (or 4497 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 51.

The spelling of 45537456624 in words is "forty-five billion, five hundred thirty-seven million, four hundred fifty-six thousand, six hundred twenty-four".