114163852880 has 320 divisors, whose sum is σ = 341046028800. Its totient is φ = 34511093760.

The previous prime is 114163852843. The next prime is 114163852919. The reversal of 114163852880 is 88258361411.

114163852880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29054756 + ... + 29058684.

It is an arithmetic number, because the mean of its divisors is an integer number (1065768840).

Almost surely, 2^114163852880 is an apocalyptic number.

114163852880 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 114163852880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170523014400).

114163852880 is an abundant number, since it is smaller than the sum of its proper divisors (226882175920).

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

114163852880 is a wasteful number, since it uses less digits than its factorization.

114163852880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 47.

The spelling of 114163852880 in words is "one hundred fourteen billion, one hundred sixty-three million, eight hundred fifty-two thousand, eight hundred eighty".