115644564001 has 8 divisors (see below), whose sum is σ = 115879967720. Its totient is φ = 115409397888.

The previous prime is 115644563963. The next prime is 115644564031. The reversal of 115644564001 is 100465446511.

It can be written as a sum of positive squares in 4 ways, for example, as 9319006225 + 106325557776 = 96535^2 + 326076^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 115644564001 - 2¹¹ = 115644561953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115644564031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 931735 + ... + 1048531.

It is an arithmetic number, because the mean of its divisors is an integer number (14484995965).

Almost surely, 2^115644564001 is an apocalyptic number.

It is an amenable number.

115644564001 is a deficient number, since it is larger than the sum of its proper divisors (235403719).

115644564001 is a wasteful number, since it uses less digits than its factorization.

115644564001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118803.

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 115644564001 in words is "one hundred fifteen billion, six hundred forty-four million, five hundred sixty-four thousand, one".