45623310624 has 36 divisors (see below), whose sum is σ = 129741290406. Its totient is φ = 15207770112.

The previous prime is 45623310611. The next prime is 45623310641. The reversal of 45623310624 is 42601332654.

45623310624 is a `hidden beast` number, since 4 + 5 + 6 + 23 + 3 + 1 + 0 + 624 = 666.

45623310624 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 only one way, i.e., 36887043600 + 8736267024 = 192060^2 + 93468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79206849 + ... + 79207424.

Almost surely, 2^45623310624 is an apocalyptic number.

It is an amenable number.

45623310624 is an abundant number, since it is smaller than the sum of its proper divisors (84117979782).

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

45623310624 is a wasteful number, since it uses less digits than its factorization.

45623310624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158414289 (or 158414278 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 45623310624 in words is "forty-five billion, six hundred twenty-three million, three hundred ten thousand, six hundred twenty-four".