456516114544113 has 16 divisors (see below), whose sum is σ = 655510827074880. Its totient is φ = 280932775527744.

The previous prime is 456516114544111. The next prime is 456516114544123. The reversal of 456516114544113 is 311445411615654.

It is not a de Polignac number, because 456516114544113 - 2¹ = 456516114544111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456516114544111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56857095 + ... + 64387587.

It is an arithmetic number, because the mean of its divisors is an integer number (40969426692180).

Almost surely, 2^{456516114544113} is an apocalyptic number.

It is an amenable number.

456516114544113 is a deficient number, since it is larger than the sum of its proper divisors (198994712530767).

456516114544113 is a wasteful number, since it uses less digits than its factorization.

456516114544113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9084928.

The product of its digits is 3456000, while the sum is 51.

The spelling of 456516114544113 in words is "four hundred fifty-six trillion, five hundred sixteen billion, one hundred fourteen million, five hundred forty-four thousand, one hundred thirteen".