116517114600 has 96 divisors (see below), whose sum is σ = 372854826240. Its totient is φ = 30068928000.

The previous prime is 116517114583. The next prime is 116517114601. The reversal of 116517114600 is 6411715611.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (116517114601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3113581 + ... + 3150780.

It is an arithmetic number, because the mean of its divisors is an integer number (3883904440).

Almost surely, 2^116517114600 is an apocalyptic number.

116517114600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116517114600 is an abundant number, since it is smaller than the sum of its proper divisors (256337711640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116517114600 is a wasteful number, since it uses less digits than its factorization.

116517114600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6264411 (or 6264402 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 116517114600 in words is "one hundred sixteen billion, five hundred seventeen million, one hundred fourteen thousand, six hundred".