6157638768681 has 27 divisors (see below), whose sum is σ = 9088151787741. Its totient is φ = 4017521824344.

The previous prime is 6157638768649. The next prime is 6157638768713. The reversal of 6157638768681 is 1868678367516.

The square root of 6157638768681 is 2481459.

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

6157638768681 is a `hidden beast` number, since 61 + 5 + 76 + 387 + 68 + 68 + 1 = 666.

6157638768681 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6157638768649) and next prime (6157638768713).

It is not a de Polignac number, because 6157638768681 - 2⁵ = 6157638768649 is a prime.

It is a super-2 number, since 2×6157638768681² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6157638768481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 349876920 + ... + 349894518.

Almost surely, 2^{6157638768681} is an apocalyptic number.

6157638768681 is the 2481459-th square number.

6157638768681 is the 1240730-th centered octagonal number.

It is an amenable number.

6157638768681 is a deficient number, since it is larger than the sum of its proper divisors (2930513019060).

6157638768681 is an frugal number, since it uses more digits than its factorization.

6157638768681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35298 (or 17649 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 6157638768681 in words is "six trillion, one hundred fifty-seven billion, six hundred thirty-eight million, seven hundred sixty-eight thousand, six hundred eighty-one".