114645738528 has 120 divisors (see below), whose sum is σ = 337571717868. Its totient is φ = 38169709056.

The previous prime is 114645738517. The next prime is 114645738547. The reversal of 114645738528 is 825837546411.

It is a happy number.

114645738528 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 45 + 73 + 8 + 528 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114441477264 + 204261264 = 338292^2 + 14292^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2185050 + ... + 2236902.

Almost surely, 2^114645738528 is an apocalyptic number.

114645738528 is a gapful number since it is divisible by the number (18) 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 114645738528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168785858934).

114645738528 is an abundant number, since it is smaller than the sum of its proper divisors (222925979340).

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

114645738528 is an equidigital number, since it uses as much as digits as its factorization.

114645738528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52728 (or 52711 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 114645738528 in words is "one hundred fourteen billion, six hundred forty-five million, seven hundred thirty-eight thousand, five hundred twenty-eight".