57461156289 has 48 divisors (see below), whose sum is σ = 91753938432. Its totient is φ = 34467231744.

The previous prime is 57461156287. The next prime is 57461156299. The reversal of 57461156289 is 98265116475.

It is a happy number.

57461156289 is a `hidden beast` number, since 5 + 7 + 4 + 6 + 1 + 1 + 5 + 628 + 9 = 666.

57461156289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57461156289 - 2¹ = 57461156287 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57461156287) 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, 8607657 + ... + 8614329.

It is an arithmetic number, because the mean of its divisors is an integer number (1911540384).

Almost surely, 2^57461156289 is an apocalyptic number.

It is an amenable number.

57461156289 is a deficient number, since it is larger than the sum of its proper divisors (34292782143).

57461156289 is a wasteful number, since it uses less digits than its factorization.

57461156289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9166 (or 9163 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 57461156289 in words is "fifty-seven billion, four hundred sixty-one million, one hundred fifty-six thousand, two hundred eighty-nine".