57367490701689 has 81 divisors (see below), whose sum is σ = 99839535683277. Its totient is φ = 31648484443968.

The previous prime is 57367490701681. The next prime is 57367490701699. The reversal of 57367490701689 is 98610709476375.

It is a happy number.

The square root of 57367490701689 is 7574133.

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

57367490701689 is a `hidden beast` number, since 5 + 7 + 3 + 6 + 7 + 490 + 70 + 1 + 68 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16732067535225 + 40635423166464 = 4090485^2 + 6374592^2 .

It is not a de Polignac number, because 57367490701689 - 2³ = 57367490701681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57367490701681) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4612640779 + ... + 4612653215.

Almost surely, 2^{57367490701689} is an apocalyptic number.

57367490701689 is the 7574133-rd square number.

57367490701689 is the 3787067-th centered octagonal number.

It is an amenable number.

57367490701689 is a deficient number, since it is larger than the sum of its proper divisors (42472044981588).

57367490701689 is an frugal number, since it uses more digits than its factorization.

57367490701689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24952 (or 12476 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 57367490701689 in words is "fifty-seven trillion, three hundred sixty-seven billion, four hundred ninety million, seven hundred one thousand, six hundred eighty-nine".