116916139296 has 144 divisors (see below), whose sum is σ = 363455322048. Its totient is φ = 35355916800.

The previous prime is 116916139289. The next prime is 116916139297. The reversal of 116916139296 is 692931619611.

It is a happy number.

116916139296 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 161 + 392 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116916139297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1504926 + ... + 1580706.

It is an arithmetic number, because the mean of its divisors is an integer number (2523995292).

Almost surely, 2^116916139296 is an apocalyptic number.

116916139296 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 116916139296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181727661024).

116916139296 is an abundant number, since it is smaller than the sum of its proper divisors (246539182752).

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

116916139296 is a wasteful number, since it uses less digits than its factorization.

116916139296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76295 (or 76284 counting only the distinct ones).

The product of its digits is 944784, while the sum is 54.

The spelling of 116916139296 in words is "one hundred sixteen billion, nine hundred sixteen million, one hundred thirty-nine thousand, two hundred ninety-six".