117146771833344 has 2560 divisors, whose sum is σ = 403215335424000. Its totient is φ = 29756856729600.

The previous prime is 117146771833339. The next prime is 117146771833349. The reversal of 117146771833344 is 443338177641711.

It is a happy number.

117146771833344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (117146771833339) and next prime (117146771833349).

It is not an unprimeable number, because it can be changed into a prime (117146771833349) 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, 1316255863252 + ... + 1316255863340.

It is an arithmetic number, because the mean of its divisors is an integer number (157505990400).

Almost surely, 2^{117146771833344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117146771833344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201607667712000).

117146771833344 is an abundant number, since it is smaller than the sum of its proper divisors (286068563590656).

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

117146771833344 is a wasteful number, since it uses less digits than its factorization.

117146771833344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 60.

The spelling of 117146771833344 in words is "one hundred seventeen trillion, one hundred forty-six billion, seven hundred seventy-one million, eight hundred thirty-three thousand, three hundred forty-four".