116788690944000 has 1344 divisors, whose sum is σ = 439749412152960. Its totient is φ = 30576476160000.

The previous prime is 116788690943983. The next prime is 116788690944007. The reversal of 116788690944000 is 449096887611.

116788690944000 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 88 + 69 + 0 + 94 + 400 + 0 = 666.

It is a super-2 number, since 2×116788690944000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116788690944007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215875583730 + ... + 215875584270.

It is an arithmetic number, because the mean of its divisors is an integer number (327194503090).

Almost surely, 2^{116788690944000} is an apocalyptic number.

116788690944000 is a gapful number since it is divisible by the number (10) 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 116788690944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219874706076480).

116788690944000 is an abundant number, since it is smaller than the sum of its proper divisors (322960721208960).

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

116788690944000 is an frugal number, since it uses more digits than its factorization.

116788690944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 116788690944000 in words is "one hundred sixteen trillion, seven hundred eighty-eight billion, six hundred ninety million, nine hundred forty-four thousand".