45138918720 has 112 divisors (see below), whose sum is σ = 163789815168. Its totient is φ = 10317465600.

The previous prime is 45138918719. The next prime is 45138918733. The reversal of 45138918720 is 2781983154.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45138918720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3351831 + ... + 3365270.

It is an arithmetic number, because the mean of its divisors is an integer number (1462409064).

Almost surely, 2^45138918720 is an apocalyptic number.

45138918720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45138918720 is an abundant number, since it is smaller than the sum of its proper divisors (118650896448).

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

45138918720 is a wasteful number, since it uses less digits than its factorization.

45138918720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6717128 (or 6717118 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 45138918720 in words is "forty-five billion, one hundred thirty-eight million, nine hundred eighteen thousand, seven hundred twenty".