117932251846080 has 672 divisors, whose sum is σ = 437214855458304. Its totient is φ = 26854137225216.

The previous prime is 117932251846067. The next prime is 117932251846081. The reversal of 117932251846080 is 80648152239711.

117932251846080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×117932251846080² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 117932251846080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117932251846081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18651309799 + ... + 18651316121.

It is an arithmetic number, because the mean of its divisors is an integer number (650617344432).

It is a 1-persistent number, because it is pandigital, but 2⋅117932251846080 = 235864503692160 is not.

Almost surely, 2^{117932251846080} is an apocalyptic number.

117932251846080 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 117932251846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218607427729152).

117932251846080 is an abundant number, since it is smaller than the sum of its proper divisors (319282603612224).

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

117932251846080 is a wasteful number, since it uses less digits than its factorization.

117932251846080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7793 (or 7776 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 117932251846080 in words is "one hundred seventeen trillion, nine hundred thirty-two billion, two hundred fifty-one million, eight hundred forty-six thousand, eighty".