6157737958401 has 12 divisors (see below), whose sum is σ = 9201217639380. Its totient is φ = 3963601444320.

The previous prime is 6157737958349. The next prime is 6157737958423. The reversal of 6157737958401 is 1048597377516.

6157737958401 is a `hidden beast` number, since 6 + 1 + 577 + 3 + 7 + 9 + 58 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3986311730625 + 2171426227776 = 1996575^2 + 1473576^2 .

It is not a de Polignac number, because 6157737958401 - 2¹⁰ = 6157737957377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6157737951401) 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 11 ways as a sum of consecutive naturals, for example, 11796432610 + ... + 11796433131.

It is an arithmetic number, because the mean of its divisors is an integer number (766768136615).

Almost surely, 2^{6157737958401} is an apocalyptic number.

It is an amenable number.

6157737958401 is a deficient number, since it is larger than the sum of its proper divisors (3043479680979).

6157737958401 is a wasteful number, since it uses less digits than its factorization.

6157737958401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23592865776 (or 23592865773 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 6157737958401 in words is "six trillion, one hundred fifty-seven billion, seven hundred thirty-seven million, nine hundred fifty-eight thousand, four hundred one".