114129868320 has 576 divisors, whose sum is σ = 436882118400. Its totient is φ = 27969712128.

The previous prime is 114129868297. The next prime is 114129868327. The reversal of 114129868320 is 23868921411.

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

It is not an unprimeable number, because it can be changed into a prime (114129868327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176398237 + ... + 176398883.

It is an arithmetic number, because the mean of its divisors is an integer number (758475900).

Almost surely, 2^114129868320 is an apocalyptic number.

114129868320 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 114129868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218441059200).

114129868320 is an abundant number, since it is smaller than the sum of its proper divisors (322752250080).

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

114129868320 is a wasteful number, since it uses less digits than its factorization.

114129868320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 114129868320 in words is "one hundred fourteen billion, one hundred twenty-nine million, eight hundred sixty-eight thousand, three hundred twenty".