114228182588608 has 168 divisors, whose sum is σ = 249848212723200. Its totient is φ = 51776787617280.

The previous prime is 114228182588579. The next prime is 114228182588617. The reversal of 114228182588608 is 806885281822411.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 114228182588608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10120325941 + ... + 10120337227.

It is an arithmetic number, because the mean of its divisors is an integer number (1487191742400).

Almost surely, 2^{114228182588608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114228182588608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124924106361600).

114228182588608 is an abundant number, since it is smaller than the sum of its proper divisors (135620030134592).

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

114228182588608 is a wasteful number, since it uses less digits than its factorization.

114228182588608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14859 (or 14838 counting only the distinct ones).

The product of its (nonzero) digits is 31457280, while the sum is 64.

The spelling of 114228182588608 in words is "one hundred fourteen trillion, two hundred twenty-eight billion, one hundred eighty-two million, five hundred eighty-eight thousand, six hundred eight".