116789095934016 has 448 divisors, whose sum is σ = 369048055993344. Its totient is φ = 32192674201600.

The previous prime is 116789095934003. The next prime is 116789095934023. The reversal of 116789095934016 is 610439590987611.

116789095934016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 157140115 + ... + 157881581.

It is an arithmetic number, because the mean of its divisors is an integer number (823767982128).

Almost surely, 2^{116789095934016} is an apocalyptic number.

116789095934016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116789095934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184524027996672).

116789095934016 is an abundant number, since it is smaller than the sum of its proper divisors (252258960059328).

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

116789095934016 is a wasteful number, since it uses less digits than its factorization.

116789095934016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741658 (or 741648 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 69.

The spelling of 116789095934016 in words is "one hundred sixteen trillion, seven hundred eighty-nine billion, ninety-five million, nine hundred thirty-four thousand, sixteen".