114916734720 has 360 divisors, whose sum is σ = 413717651424. Its totient is φ = 30456373248.

The previous prime is 114916734719. The next prime is 114916734767. The reversal of 114916734720 is 27437619411.

It is a happy number.

114916734720 is a `hidden beast` number, since 1 + 1 + 491 + 67 + 34 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17311242 + ... + 17317878.

Almost surely, 2^114916734720 is an apocalyptic number.

114916734720 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 114916734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206858825712).

114916734720 is an abundant number, since it is smaller than the sum of its proper divisors (298800916704).

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

114916734720 is an equidigital number, since it uses as much as digits as its factorization.

114916734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 114916734720 in words is "one hundred fourteen billion, nine hundred sixteen million, seven hundred thirty-four thousand, seven hundred twenty".