45224063136 has 432 divisors, whose sum is σ = 159723083520. Its totient is φ = 12059873280.

The previous prime is 45224063107. The next prime is 45224063177. The reversal of 45224063136 is 63136042254.

45224063136 is a `hidden beast` number, since 4 + 522 + 40 + 63 + 1 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45224063136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31426705 + ... + 31428143.

It is an arithmetic number, because the mean of its divisors is an integer number (369729360).

Almost surely, 2^45224063136 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 45224063136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79861541760).

45224063136 is an abundant number, since it is smaller than the sum of its proper divisors (114499020384).

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

45224063136 is a wasteful number, since it uses less digits than its factorization.

45224063136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 45224063136 in words is "forty-five billion, two hundred twenty-four million, sixty-three thousand, one hundred thirty-six".