45741184704 has 168 divisors, whose sum is σ = 136125557568. Its totient is φ = 15229036800.

The previous prime is 45741184681. The next prime is 45741184729. The reversal of 45741184704 is 40748114754.

45741184704 is a `hidden beast` number, since 4 + 574 + 1 + 1 + 8 + 4 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45741184704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22564939 + ... + 22566965.

It is an arithmetic number, because the mean of its divisors is an integer number (810271176).

Almost surely, 2^45741184704 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 45741184704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68062778784).

45741184704 is an abundant number, since it is smaller than the sum of its proper divisors (90384372864).

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

45741184704 is a wasteful number, since it uses less digits than its factorization.

45741184704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 45741184704 in words is "forty-five billion, seven hundred forty-one million, one hundred eighty-four thousand, seven hundred four".