45133624224 has 768 divisors, whose sum is σ = 160944537600. Its totient is φ = 12160253952.

The previous prime is 45133624213. The next prime is 45133624231. The reversal of 45133624224 is 42242633154.

45133624224 is a `hidden beast` number, since 4 + 5 + 1 + 3 + 3 + 624 + 2 + 24 = 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 127 ways as a sum of consecutive naturals, for example, 188843497 + ... + 188843735.

It is an arithmetic number, because the mean of its divisors is an integer number (209563200).

Almost surely, 2^45133624224 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 45133624224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80472268800).

45133624224 is an abundant number, since it is smaller than the sum of its proper divisors (115810913376).

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

45133624224 is a wasteful number, since it uses less digits than its factorization.

45133624224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The spelling of 45133624224 in words is "forty-five billion, one hundred thirty-three million, six hundred twenty-four thousand, two hundred twenty-four".