115657200062001 has 24 divisors (see below), whose sum is σ = 179940121209576. Its totient is φ = 71162220257280.

The previous prime is 115657200061969. The next prime is 115657200062003. The reversal of 115657200062001 is 100260002756511.

115657200062001 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 5 + 7 + 20 + 0 + 0 + 620 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3965614218225 + 111691585843776 = 1991385^2 + 10568424^2 .

It is not a de Polignac number, because 115657200062001 - 2⁵ = 115657200061969 is a prime.

It is a super-3 number, since 3×115657200062001³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (115657200062003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78722640 + ... + 80178353.

It is an arithmetic number, because the mean of its divisors is an integer number (7497505050399).

Almost surely, 2^{115657200062001} is an apocalyptic number.

It is an amenable number.

115657200062001 is a deficient number, since it is larger than the sum of its proper divisors (64282921147575).

115657200062001 is a wasteful number, since it uses less digits than its factorization.

115657200062001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158907233 (or 158907230 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 115657200062001 in words is "one hundred fifteen trillion, six hundred fifty-seven billion, two hundred million, sixty-two thousand, one".