116177359104 has 243 divisors, whose sum is σ = 349161268183. Its totient is φ = 38578540032.

The previous prime is 116177359091. The next prime is 116177359139. The reversal of 116177359104 is 401953771611.

The square root of 116177359104 is 340848.

It is a perfect power (a square), and thus also a powerful number.

116177359104 is a `hidden beast` number, since 11 + 617 + 7 + 3 + 5 + 9 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (243).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 116177359104.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 441738877 + ... + 441739139.

Almost surely, 2^116177359104 is an apocalyptic number.

116177359104 is the 340848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116177359104

116177359104 is an abundant number, since it is smaller than the sum of its proper divisors (232983909079).

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

116177359104 is an frugal number, since it uses more digits than its factorization.

116177359104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 116177359104 in words is "one hundred sixteen billion, one hundred seventy-seven million, three hundred fifty-nine thousand, one hundred four".