114201718080 has 224 divisors, whose sum is σ = 366859767168. Its totient is φ = 30096384000.

The previous prime is 114201718021. The next prime is 114201718097. The reversal of 114201718080 is 80817102411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94147554 + ... + 94148766.

Almost surely, 2^114201718080 is an apocalyptic number.

114201718080 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 114201718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183429883584).

114201718080 is an abundant number, since it is smaller than the sum of its proper divisors (252658049088).

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

114201718080 is a wasteful number, since it uses less digits than its factorization.

114201718080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 33.

The spelling of 114201718080 in words is "one hundred fourteen billion, two hundred one million, seven hundred eighteen thousand, eighty".