57345735249 has 24 divisors (see below), whose sum is σ = 90415151424. Its totient is φ = 34734924000.

The previous prime is 57345735179. The next prime is 57345735283. The reversal of 57345735249 is 94253754375.

57345735249 is a `hidden beast` number, since 5 + 7 + 3 + 45 + 73 + 524 + 9 = 666.

It is not a de Polignac number, because 57345735249 - 2¹⁷ = 57345604177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57345735195 and 57345735204.

It is not an unprimeable number, because it can be changed into a prime (57345735289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6004 + ... + 338714.

It is an arithmetic number, because the mean of its divisors is an integer number (3767297976).

Almost surely, 2^57345735249 is an apocalyptic number.

It is an amenable number.

57345735249 is a deficient number, since it is larger than the sum of its proper divisors (33069416175).

57345735249 is a wasteful number, since it uses less digits than its factorization.

57345735249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334469 (or 334466 counting only the distinct ones).

The product of its digits is 15876000, while the sum is 54.

The spelling of 57345735249 in words is "fifty-seven billion, three hundred forty-five million, seven hundred thirty-five thousand, two hundred forty-nine".