117082086048 has 288 divisors, whose sum is σ = 355537728000. Its totient is φ = 36477278208.

The previous prime is 117082086031. The next prime is 117082086049. The reversal of 117082086048 is 840680280711.

117082086048 is a `hidden beast` number, since 1 + 17 + 0 + 8 + 20 + 8 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 117082085994 and 117082086012.

It is not an unprimeable number, because it can be changed into a prime (117082086049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68911503 + ... + 68913201.

It is an arithmetic number, because the mean of its divisors is an integer number (1234506000).

Almost surely, 2^117082086048 is an apocalyptic number.

117082086048 is a gapful number since it is divisible by the number (18) 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 117082086048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177768864000).

117082086048 is an abundant number, since it is smaller than the sum of its proper divisors (238455641952).

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

117082086048 is a wasteful number, since it uses less digits than its factorization.

117082086048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 117082086048 in words is "one hundred seventeen billion, eighty-two million, eighty-six thousand, forty-eight".