117336431001600 has 1296 divisors, whose sum is σ = 440508578459040. Its totient is φ = 30958682112000.

The previous prime is 117336431001553. The next prime is 117336431001607. The reversal of 117336431001600 is 6100134633711.

117336431001600 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 3 + 6 + 43 + 1 + 0 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117336431001607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80422501671 + ... + 80422503129.

It is an arithmetic number, because the mean of its divisors is an integer number (339898594490).

Almost surely, 2^{117336431001600} is an apocalyptic number.

117336431001600 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 117336431001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220254289229520).

117336431001600 is an abundant number, since it is smaller than the sum of its proper divisors (323172147457440).

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

117336431001600 is an frugal number, since it uses more digits than its factorization.

117336431001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 117336431001600 in words is "one hundred seventeen trillion, three hundred thirty-six billion, four hundred thirty-one million, one thousand, six hundred".