45106113924 has 297 divisors, whose sum is σ = 130631977623. Its totient is φ = 13624730064.

The previous prime is 45106113919. The next prime is 45106113979. The reversal of 45106113924 is 42931160154.

It is a happy number.

The square root of 45106113924 is 212382.

It is a perfect power (a square), and thus also a powerful number.

45106113924 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 611 + 39 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 1961135377 + ... + 1961135399.

Almost surely, 2^45106113924 is an apocalyptic number.

45106113924 is the 212382-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45106113924

45106113924 is an abundant number, since it is smaller than the sum of its proper divisors (85525863699).

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

45106113924 is an equidigital number, since it uses as much as digits as its factorization.

45106113924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 45106113924 by its sum of digits (36), we get a square (1623820101264 = 1274292²).

45106113924 divided by its sum of digits (36) gives a square (1252947609 = 35397²).

The spelling of 45106113924 in words is "forty-five billion, one hundred six million, one hundred thirteen thousand, nine hundred twenty-four".