117951990156 has 768 divisors, whose sum is σ = 423116144640. Its totient is φ = 27662342400.

The previous prime is 117951990133. The next prime is 117951990161. The reversal of 117951990156 is 651099159711.

117951990156 is a `hidden beast` number, since 1 + 1 + 79 + 519 + 9 + 0 + 1 + 56 = 666.

It is a super-3 number, since 3×117951990156³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 928755765 + ... + 928755891.

It is an arithmetic number, because the mean of its divisors is an integer number (550932480).

Almost surely, 2^117951990156 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 117951990156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211558072320).

117951990156 is an abundant number, since it is smaller than the sum of its proper divisors (305164154484).

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

117951990156 is a wasteful number, since it uses less digits than its factorization.

117951990156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 765450, while the sum is 54.

The spelling of 117951990156 in words is "one hundred seventeen billion, nine hundred fifty-one million, nine hundred ninety thousand, one hundred fifty-six".