114760072160 has 96 divisors (see below), whose sum is σ = 287222749632. Its totient is φ = 43180646400.

The previous prime is 114760072129. The next prime is 114760072213. The reversal of 114760072160 is 61270067411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114760072160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5573885 + ... + 5594435.

It is an arithmetic number, because the mean of its divisors is an integer number (2991903642).

Almost surely, 2^114760072160 is an apocalyptic number.

114760072160 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 114760072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143611374816).

114760072160 is an abundant number, since it is smaller than the sum of its proper divisors (172462677472).

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

114760072160 is a wasteful number, since it uses less digits than its factorization.

114760072160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22636 (or 22628 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 114760072160 in words is "one hundred fourteen billion, seven hundred sixty million, seventy-two thousand, one hundred sixty".