45756625401 has 48 divisors (see below), whose sum is σ = 68789120400. Its totient is φ = 29273481216.

The previous prime is 45756625337. The next prime is 45756625429. The reversal of 45756625401 is 10452665754.

45756625401 is a `hidden beast` number, since 4 + 57 + 56 + 6 + 2 + 540 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2727346176 + 43029279225 = 52224^2 + 207435^2 .

It is not a de Polignac number, because 45756625401 - 2⁶ = 45756625337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45756625501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45347985 + ... + 45348993.

It is an arithmetic number, because the mean of its divisors is an integer number (1433106675).

Almost surely, 2^45756625401 is an apocalyptic number.

It is an amenable number.

45756625401 is a deficient number, since it is larger than the sum of its proper divisors (23032494999).

45756625401 is a wasteful number, since it uses less digits than its factorization.

45756625401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 45756625401 in words is "forty-five billion, seven hundred fifty-six million, six hundred twenty-five thousand, four hundred one".