45734705920 has 72 divisors (see below), whose sum is σ = 109606605696. Its totient is φ = 18284249088.

The previous prime is 45734705909. The next prime is 45734705941. The reversal of 45734705920 is 2950743754.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2734704 + ... + 2751376.

It is an arithmetic number, because the mean of its divisors is an integer number (1522313968).

Almost surely, 2^45734705920 is an apocalyptic number.

45734705920 is a gapful number since it is divisible by the number (40) 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 45734705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54803302848).

45734705920 is an abundant number, since it is smaller than the sum of its proper divisors (63871899776).

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

45734705920 is a wasteful number, since it uses less digits than its factorization.

45734705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18837 (or 18823 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 45734705920 in words is "forty-five billion, seven hundred thirty-four million, seven hundred five thousand, nine hundred twenty".