57141545409 has 96 divisors (see below), whose sum is σ = 95963815584. Its totient is φ = 32452116480.

The previous prime is 57141545359. The next prime is 57141545507. The reversal of 57141545409 is 90454514175.

57141545409 is a `hidden beast` number, since 57 + 1 + 4 + 1 + 54 + 540 + 9 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 19063877184 + 38077668225 = 138072^2 + 195135^2 .

It is not a de Polignac number, because 57141545409 - 2⁷ = 57141545281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57141544409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21800119 + ... + 21802739.

It is an arithmetic number, because the mean of its divisors is an integer number (999623079).

Almost surely, 2^57141545409 is an apocalyptic number.

It is an amenable number.

57141545409 is a deficient number, since it is larger than the sum of its proper divisors (38822270175).

57141545409 is a wasteful number, since it uses less digits than its factorization.

57141545409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 57141545409 in words is "fifty-seven billion, one hundred forty-one million, five hundred forty-five thousand, four hundred nine".