117168484000 has 96 divisors (see below), whose sum is σ = 290734294032. Its totient is φ = 46403200000.

The previous prime is 117168483997. The next prime is 117168484001. The reversal of 117168484000 is 484861711.

It can be written as a sum of positive squares in 8 ways, for example, as 31429616656 + 85738867344 = 177284^2 + 292812^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (117168484001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258990 + ... + 549010.

Almost surely, 2^117168484000 is an apocalyptic number.

117168484000 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 117168484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145367147016).

117168484000 is an abundant number, since it is smaller than the sum of its proper divisors (173565810032).

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

117168484000 is a wasteful number, since it uses less digits than its factorization.

117168484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290147 (or 290129 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The spelling of 117168484000 in words is "one hundred seventeen billion, one hundred sixty-eight million, four hundred eighty-four thousand".