116013694596480 has 768 divisors, whose sum is σ = 411148564070400. Its totient is φ = 30133434433536.

The previous prime is 116013694596479. The next prime is 116013694596487. The reversal of 116013694596480 is 84695496310611.

116013694596480 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 1 + 3 + 69 + 4 + 5 + 96 + 480 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116013694596487) 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 95 ways as a sum of consecutive naturals, for example, 47605125822 + ... + 47605128258.

It is an arithmetic number, because the mean of its divisors is an integer number (535349692800).

Almost surely, 2^{116013694596480} is an apocalyptic number.

116013694596480 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 116013694596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205574282035200).

116013694596480 is an abundant number, since it is smaller than the sum of its proper divisors (295134869473920).

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

116013694596480 is a wasteful number, since it uses less digits than its factorization.

116013694596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 116013694596480 in words is "one hundred sixteen trillion, thirteen billion, six hundred ninety-four million, five hundred ninety-six thousand, four hundred eighty".