117206534016 has 768 divisors, whose sum is σ = 417021696000. Its totient is φ = 31109529600.

The previous prime is 117206533973. The next prime is 117206534057. The reversal of 117206534016 is 610435602711.

117206534016 is a `hidden beast` number, since 117 + 2 + 0 + 6 + 534 + 0 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 301301950 + ... + 301302338.

It is an arithmetic number, because the mean of its divisors is an integer number (542997000).

Almost surely, 2^117206534016 is an apocalyptic number.

117206534016 is a gapful number since it is divisible by the number (16) 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 117206534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208510848000).

117206534016 is an abundant number, since it is smaller than the sum of its proper divisors (299815161984).

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

117206534016 is a wasteful number, since it uses less digits than its factorization.

117206534016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 117206534016 in words is "one hundred seventeen billion, two hundred six million, five hundred thirty-four thousand, sixteen".