114486172992 has 168 divisors, whose sum is σ = 329921509320. Its totient is φ = 37957201920.

The previous prime is 114486172991. The next prime is 114486172993. The reversal of 114486172992 is 299271684411.

114486172992 is a `hidden beast` number, since 1 + 1 + 4 + 486 + 1 + 72 + 9 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (114486172991) and next prime (114486172993).

It can be written as a sum of positive squares in 4 ways, for example, as 2411202816 + 112074970176 = 49104^2 + 334776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114486172991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148105918 + ... + 148106690.

Almost surely, 2^114486172992 is an apocalyptic number.

114486172992 is a gapful number since it is divisible by the number (12) 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 114486172992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164960754660).

114486172992 is an abundant number, since it is smaller than the sum of its proper divisors (215435336328).

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

114486172992 is a wasteful number, since it uses less digits than its factorization.

114486172992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1828 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 114486172992 in words is "one hundred fourteen billion, four hundred eighty-six million, one hundred seventy-two thousand, nine hundred ninety-two".