117344238105600 has 792 divisors, whose sum is σ = 475319098651488. Its totient is φ = 28447071436800.

The previous prime is 117344238105593. The next prime is 117344238105607. The reversal of 117344238105600 is 6501832443711.

117344238105600 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 4 + 4 + 2 + 3 + 81 + 0 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (117344238105593) and next prime (117344238105607).

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117344238105607) 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, 67571382 + ... + 69286218.

Almost surely, 2^{117344238105600} is an apocalyptic number.

117344238105600 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 117344238105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237659549325744).

117344238105600 is an abundant number, since it is smaller than the sum of its proper divisors (357974860545888).

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

117344238105600 is a wasteful number, since it uses less digits than its factorization.

117344238105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714893 (or 1714858 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 117344238105600 in words is "one hundred seventeen trillion, three hundred forty-four billion, two hundred thirty-eight million, one hundred five thousand, six hundred".