117205489652832 has 384 divisors, whose sum is σ = 412007712076800. Its totient is φ = 31666136371200.

The previous prime is 117205489652789. The next prime is 117205489652843. The reversal of 117205489652832 is 238256984502711.

It is a happy number.

117205489652832 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 0 + 548 + 9 + 6 + 5 + 2 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 117205489652832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61224732 + ... + 63110052.

It is an arithmetic number, because the mean of its divisors is an integer number (1072936750200).

It is a 1-persistent number, because it is pandigital, but 2⋅117205489652832 = 234410979305664 is not.

Almost surely, 2^{117205489652832} is an apocalyptic number.

117205489652832 is a gapful number since it is divisible by the number (12) 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 117205489652832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206003856038400).

117205489652832 is an abundant number, since it is smaller than the sum of its proper divisors (294802222423968).

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

117205489652832 is a wasteful number, since it uses less digits than its factorization.

117205489652832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885907 (or 1885893 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 117205489652832 in words is "one hundred seventeen trillion, two hundred five billion, four hundred eighty-nine million, six hundred fifty-two thousand, eight hundred thirty-two".