114185790720 has 360 divisors, whose sum is σ = 409635321480. Its totient is φ = 30370775040.

The previous prime is 114185790713. The next prime is 114185790779. The reversal of 114185790720 is 27097581411.

It is a happy number.

114185790720 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 8 + 579 + 0 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 837755136 + 113348035584 = 28944^2 + 336672^2 .

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, 47795286 + ... + 47797674.

It is an arithmetic number, because the mean of its divisors is an integer number (1137875893).

Almost surely, 2^114185790720 is an apocalyptic number.

114185790720 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 114185790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204817660740).

114185790720 is an abundant number, since it is smaller than the sum of its proper divisors (295449530760).

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

114185790720 is an equidigital number, since it uses as much as digits as its factorization.

114185790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 114185790720 in words is "one hundred fourteen billion, one hundred eighty-five million, seven hundred ninety thousand, seven hundred twenty".