114141918720 has 320 divisors, whose sum is σ = 371325233664. Its totient is φ = 29906042880.

The previous prime is 114141918713. The next prime is 114141918769. The reversal of 114141918720 is 27819141411.

It is a tau number, because it is divible by the number of its divisors (320).

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, 153622669 + ... + 153623411.

Almost surely, 2^114141918720 is an apocalyptic number.

114141918720 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 114141918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185662616832).

114141918720 is an abundant number, since it is smaller than the sum of its proper divisors (257183314944).

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

114141918720 is an equidigital number, since it uses as much as digits as its factorization.

114141918720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 39.

The spelling of 114141918720 in words is "one hundred fourteen billion, one hundred forty-one million, nine hundred eighteen thousand, seven hundred twenty".