116830075389664 has 384 divisors, whose sum is σ = 297956622458880. Its totient is φ = 43850806272000.

The previous prime is 116830075389661. The next prime is 116830075389679. The reversal of 116830075389664 is 466983570038611.

It is a self number, because there is not a number n which added to its sum of digits gives 116830075389664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116830075389661) 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, 6942179202 + ... + 6942196030.

It is an arithmetic number, because the mean of its divisors is an integer number (775928704320).

Almost surely, 2^{116830075389664} is an apocalyptic number.

116830075389664 is a gapful number since it is divisible by the number (14) 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 116830075389664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148978311229440).

116830075389664 is an abundant number, since it is smaller than the sum of its proper divisors (181126547069216).

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

116830075389664 is a wasteful number, since it uses less digits than its factorization.

116830075389664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18394 (or 18386 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 67.

The spelling of 116830075389664 in words is "one hundred sixteen trillion, eight hundred thirty billion, seventy-five million, three hundred eighty-nine thousand, six hundred sixty-four".