45742859972 has 24 divisors (see below), whose sum is σ = 81390500184. Its totient is φ = 22491436032.

The previous prime is 45742859957. The next prime is 45742860047. The reversal of 45742859972 is 27995824754.

45742859972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15332382976 + 30410476996 = 123824^2 + 174386^2 .

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314543 + ... + 436374.

It is an arithmetic number, because the mean of its divisors is an integer number (3391270841).

Almost surely, 2^45742859972 is an apocalyptic number.

It is an amenable number.

45742859972 is a deficient number, since it is larger than the sum of its proper divisors (35647640212).

45742859972 is a wasteful number, since it uses less digits than its factorization.

45742859972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751175 (or 751173 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 62.

The spelling of 45742859972 in words is "forty-five billion, seven hundred forty-two million, eight hundred fifty-nine thousand, nine hundred seventy-two".