117317879940744 has 1024 divisors, whose sum is σ = 412496835379200. Its totient is φ = 30153492864000.

The previous prime is 117317879940731. The next prime is 117317879940749. The reversal of 117317879940744 is 447049978713711.

117317879940744 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 17 + 87 + 99 + 407 + 44 = 666.

117317879940744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (117317879940749) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 57877591459 + ... + 57877593485.

It is an arithmetic number, because the mean of its divisors is an integer number (402828940800).

Almost surely, 2^{117317879940744} is an apocalyptic number.

117317879940744 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 117317879940744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206248417689600).

117317879940744 is an abundant number, since it is smaller than the sum of its proper divisors (295178955438456).

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

117317879940744 is a wasteful number, since it uses less digits than its factorization.

117317879940744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 298722816, while the sum is 72.

The spelling of 117317879940744 in words is "one hundred seventeen trillion, three hundred seventeen billion, eight hundred seventy-nine million, nine hundred forty thousand, seven hundred forty-four".