116406656464065 has 16 divisors (see below), whose sum is σ = 203182527646656. Its totient is φ = 56439591012800.

The previous prime is 116406656464057. The next prime is 116406656464177. The reversal of 116406656464065 is 560464656604611.

It is not a de Polignac number, because 116406656464065 - 2³ = 116406656464057 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352747443666 + ... + 352747443995.

It is an arithmetic number, because the mean of its divisors is an integer number (12698907977916).

Almost surely, 2^{116406656464065} is an apocalyptic number.

116406656464065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116406656464065 is a deficient number, since it is larger than the sum of its proper divisors (86775871182591).

116406656464065 is a wasteful number, since it uses less digits than its factorization.

116406656464065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705494887680.

The product of its (nonzero) digits is 74649600, while the sum is 60.

The spelling of 116406656464065 in words is "one hundred sixteen trillion, four hundred six billion, six hundred fifty-six million, four hundred sixty-four thousand, sixty-five".