117149170320000 has 2560 divisors, whose sum is σ = 535414292582400. Its totient is φ = 24547276800000.

The previous prime is 117149170319963. The next prime is 117149170320071. The reversal of 117149170320000 is 23071941711.

117149170320000 is a `hidden beast` number, since 1 + 1 + 71 + 491 + 70 + 32 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 29680558027 + ... + 29680561973.

It is an arithmetic number, because the mean of its divisors is an integer number (209146208040).

Almost surely, 2^{117149170320000} is an apocalyptic number.

117149170320000 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 117149170320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267707146291200).

117149170320000 is an abundant number, since it is smaller than the sum of its proper divisors (418265122262400).

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

117149170320000 is a wasteful number, since it uses less digits than its factorization.

117149170320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 117149170320000 in words is "one hundred seventeen trillion, one hundred forty-nine billion, one hundred seventy million, three hundred twenty thousand".