114675716160 has 672 divisors, whose sum is σ = 429308605440. Its totient is φ = 28027109376.

The previous prime is 114675716159. The next prime is 114675716191. The reversal of 114675716160 is 61617576411.

114675716160 is a `hidden beast` number, since 1 + 1 + 4 + 67 + 571 + 6 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 132879889 + ... + 132880751.

Almost surely, 2^114675716160 is an apocalyptic number.

114675716160 is a gapful number since it is divisible by the number (10) 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 114675716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214654302720).

114675716160 is an abundant number, since it is smaller than the sum of its proper divisors (314632889280).

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

114675716160 is a wasteful number, since it uses less digits than its factorization.

114675716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 114675716160 in words is "one hundred fourteen billion, six hundred seventy-five million, seven hundred sixteen thousand, one hundred sixty".