45332037172657 has 24 divisors (see below), whose sum is σ = 48318746752376. Its totient is φ = 42520851929088.

The previous prime is 45332037172651. The next prime is 45332037172693. The reversal of 45332037172657 is 75627173023354.

It can be written as a sum of positive squares in 12 ways, for example, as 17383220923761 + 27948816248896 = 4169319^2 + 5286664^2 .

It is not a de Polignac number, because 45332037172657 - 2³ = 45332037172649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45332037172598 and 45332037172607.

It is not an unprimeable number, because it can be changed into a prime (45332037172651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491768623 + ... + 491860795.

Almost surely, 2^{45332037172657} is an apocalyptic number.

It is an amenable number.

45332037172657 is a deficient number, since it is larger than the sum of its proper divisors (2986709579719).

45332037172657 is a wasteful number, since it uses less digits than its factorization.

45332037172657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97957 (or 97940 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 55.

The spelling of 45332037172657 in words is "forty-five trillion, three hundred thirty-two billion, thirty-seven million, one hundred seventy-two thousand, six hundred fifty-seven".