117171145344 has 512 divisors, whose sum is σ = 361007539200. Its totient is φ = 33354547200.

The previous prime is 117171145319. The next prime is 117171145363. The reversal of 117171145344 is 443541171711.

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, 894436159 + ... + 894436289.

It is an arithmetic number, because the mean of its divisors is an integer number (705092850).

Almost surely, 2^117171145344 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 117171145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180503769600).

117171145344 is an abundant number, since it is smaller than the sum of its proper divisors (243836393856).

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

117171145344 is a wasteful number, since it uses less digits than its factorization.

117171145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its digits is 47040, while the sum is 39.

The spelling of 117171145344 in words is "one hundred seventeen billion, one hundred seventy-one million, one hundred forty-five thousand, three hundred forty-four".