57331137645 has 24 divisors (see below), whose sum is σ = 99524362392. Its totient is φ = 30530332800.

The previous prime is 57331137629. The next prime is 57331137679. The reversal of 57331137645 is 54673113375.

57331137645 is a `hidden beast` number, since 573 + 3 + 1 + 1 + 3 + 76 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1331228196 + 55999909449 = 36486^2 + 236643^2 .

It is not a de Polignac number, because 57331137645 - 2⁴ = 57331137629 is a prime.

It is a super-3 number, since 3×57331137645³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 57331137645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 933966 + ... + 993455.

It is an arithmetic number, because the mean of its divisors is an integer number (4146848433).

Almost surely, 2^57331137645 is an apocalyptic number.

It is an amenable number.

57331137645 is a deficient number, since it is larger than the sum of its proper divisors (42193224747).

57331137645 is a wasteful number, since it uses less digits than its factorization.

57331137645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928093 (or 1928090 counting only the distinct ones).

The product of its digits is 793800, while the sum is 45.

The spelling of 57331137645 in words is "fifty-seven billion, three hundred thirty-one million, one hundred thirty-seven thousand, six hundred forty-five".