116958640176 has 240 divisors, whose sum is σ = 411080534400. Its totient is φ = 31657868928.

The previous prime is 116958640163. The next prime is 116958640261. The reversal of 116958640176 is 671046859611.

116958640176 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 586 + 40 + 17 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 256791 + ... + 547593.

It is an arithmetic number, because the mean of its divisors is an integer number (1712835560).

Almost surely, 2^116958640176 is an apocalyptic number.

116958640176 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 116958640176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205540267200).

116958640176 is an abundant number, since it is smaller than the sum of its proper divisors (294121894224).

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

116958640176 is a wasteful number, since it uses less digits than its factorization.

116958640176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290853 (or 290834 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 116958640176 in words is "one hundred sixteen billion, nine hundred fifty-eight million, six hundred forty thousand, one hundred seventy-six".