45902318766 has 128 divisors (see below), whose sum is σ = 103602032640. Its totient is φ = 13473216000.

The previous prime is 45902318741. The next prime is 45902318767. The reversal of 45902318766 is 66781320954.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45902318767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66428481 + ... + 66429171.

It is an arithmetic number, because the mean of its divisors is an integer number (809390880).

It is a 2-persistent number, because it is pandigital, and so is 2⋅45902318766 = 91804637532, but 3⋅45902318766 = 137706956298 is not.

Almost surely, 2^45902318766 is an apocalyptic number.

45902318766 is the 135503-rd centered pentagonal number.

45902318766 is an abundant number, since it is smaller than the sum of its proper divisors (57699713874).

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

45902318766 is a wasteful number, since it uses less digits than its factorization.

45902318766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110.

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 45902318766 in words is "forty-five billion, nine hundred two million, three hundred eighteen thousand, seven hundred sixty-six".