116329975545696 has 480 divisors, whose sum is σ = 340779243299040. Its totient is φ = 34742805504000.

The previous prime is 116329975545691. The next prime is 116329975545787. The reversal of 116329975545696 is 696545579923611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116329975545691) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33076476930 + ... + 33076480446.

It is an arithmetic number, because the mean of its divisors is an integer number (709956756873).

Almost surely, 2^{116329975545696} is an apocalyptic number.

116329975545696 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 116329975545696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170389621649520).

116329975545696 is an abundant number, since it is smaller than the sum of its proper divisors (224449267753344).

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

116329975545696 is a wasteful number, since it uses less digits than its factorization.

116329975545696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908 (or 3867 counting only the distinct ones).

The product of its digits is 3306744000, while the sum is 78.

The spelling of 116329975545696 in words is "one hundred sixteen trillion, three hundred twenty-nine billion, nine hundred seventy-five million, five hundred forty-five thousand, six hundred ninety-six".