117948831609000 has 512 divisors, whose sum is σ = 428649544028160. Its totient is φ = 26442269568000.

The previous prime is 117948831608981. The next prime is 117948831609013. The reversal of 117948831609000 is 906138849711.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3698483055 + ... + 3698514945.

It is an arithmetic number, because the mean of its divisors is an integer number (837206140680).

Almost surely, 2^{117948831609000} is an apocalyptic number.

117948831609000 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 117948831609000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214324772014080).

117948831609000 is an abundant number, since it is smaller than the sum of its proper divisors (310700712419160).

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

117948831609000 is a wasteful number, since it uses less digits than its factorization.

117948831609000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35298 (or 35284 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 57.

The spelling of 117948831609000 in words is "one hundred seventeen trillion, nine hundred forty-eight billion, eight hundred thirty-one million, six hundred nine thousand".