45714006657 has 24 divisors (see below), whose sum is σ = 72117796608. Its totient is φ = 27673303200.

The previous prime is 45714006629. The next prime is 45714006671. The reversal of 45714006657 is 75660041754.

45714006657 is a `hidden beast` number, since 457 + 140 + 0 + 6 + 6 + 57 = 666.

It is not a de Polignac number, because 45714006657 - 2¹⁶ = 45713941121 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45714006617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182094 + ... + 352967.

It is an arithmetic number, because the mean of its divisors is an integer number (3004908192).

Almost surely, 2^45714006657 is an apocalyptic number.

It is an amenable number.

45714006657 is a deficient number, since it is larger than the sum of its proper divisors (26403789951).

45714006657 is a wasteful number, since it uses less digits than its factorization.

45714006657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535941 (or 535938 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 45714006657 in words is "forty-five billion, seven hundred fourteen million, six thousand, six hundred fifty-seven".