117277248013824 has 1280 divisors, whose sum is σ = 359869686865920. Its totient is φ = 33753661440000.

The previous prime is 117277248013823. The next prime is 117277248013831. The reversal of 117277248013824 is 428310842772711.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117277248013823) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 197769389272 + ... + 197769389864.

It is an arithmetic number, because the mean of its divisors is an integer number (281148192864).

Almost surely, 2^{117277248013824} 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 117277248013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179934843432960).

117277248013824 is an abundant number, since it is smaller than the sum of its proper divisors (242592438852096).

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

117277248013824 is a wasteful number, since it uses less digits than its factorization.

117277248013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 57.

The spelling of 117277248013824 in words is "one hundred seventeen trillion, two hundred seventy-seven billion, two hundred forty-eight million, thirteen thousand, eight hundred twenty-four".