117629611344 has 400 divisors, whose sum is σ = 427390740480. Its totient is φ = 30454237440.

The previous prime is 117629611331. The next prime is 117629611349. The reversal of 117629611344 is 443116926711.

117629611344 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 29 + 611 + 3 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 117629611344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117629611349) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3949629 + ... + 3979299.

Almost surely, 2^117629611344 is an apocalyptic number.

117629611344 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 117629611344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213695370240).

117629611344 is an abundant number, since it is smaller than the sum of its proper divisors (309761129136).

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

117629611344 is a wasteful number, since it uses less digits than its factorization.

117629611344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29740 (or 29725 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 117629611344 in words is "one hundred seventeen billion, six hundred twenty-nine million, six hundred eleven thousand, three hundred forty-four".