57742931661129 has 81 divisors (see below), whose sum is σ = 99278417837781. Its totient is φ = 32301914261760.

The previous prime is 57742931661083. The next prime is 57742931661131. The reversal of 57742931661129 is 92116613924775.

The square root of 57742931661129 is 7598877.

It is a perfect power (a square), and thus also a powerful number.

57742931661129 is a `hidden beast` number, since 5 + 7 + 7 + 4 + 2 + 9 + 3 + 1 + 6 + 611 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1102556700729 + 56640374960400 = 1050027^2 + 7525980^2 .

It is not a de Polignac number, because 57742931661129 - 2²⁹ = 57742394790217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57742931661179) 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 80 ways as a sum of consecutive naturals, for example, 3259909377 + ... + 3259927089.

Almost surely, 2^{57742931661129} is an apocalyptic number.

57742931661129 is the 7598877-th square number.

57742931661129 is the 3799439-th centered octagonal number.

It is an amenable number.

57742931661129 is a deficient number, since it is larger than the sum of its proper divisors (41535486176652).

57742931661129 is an equidigital number, since it uses as much as digits as its factorization.

57742931661129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35480 (or 17740 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 57742931661129 in words is "fifty-seven trillion, seven hundred forty-two billion, nine hundred thirty-one million, six hundred sixty-one thousand, one hundred twenty-nine".