45126400752 has 80 divisors (see below), whose sum is σ = 135161230080. Its totient is φ = 14388124608.

The previous prime is 45126400673. The next prime is 45126400763. The reversal of 45126400752 is 25700462154.

It is a happy number.

45126400752 is a `hidden beast` number, since 4 + 5 + 1 + 2 + 640 + 0 + 7 + 5 + 2 = 666.

45126400752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 2260918 + ... + 2280789.

It is an arithmetic number, because the mean of its divisors is an integer number (1689515376).

Almost surely, 2^45126400752 is an apocalyptic number.

It is an amenable number.

45126400752 is an abundant number, since it is smaller than the sum of its proper divisors (90034829328).

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

45126400752 is a wasteful number, since it uses less digits than its factorization.

45126400752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541747 (or 4541735 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 45126400752 in words is "forty-five billion, one hundred twenty-six million, four hundred thousand, seven hundred fifty-two".