114656798256 has 640 divisors, whose sum is σ = 408503187456. Its totient is φ = 26754416640.

The previous prime is 114656798227. The next prime is 114656798257. The reversal of 114656798256 is 652897656411.

It is a self number, because there is not a number n which added to its sum of digits gives 114656798256.

It is not an unprimeable number, because it can be changed into a prime (114656798257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 340227720 + ... + 340228056.

Almost surely, 2^114656798256 is an apocalyptic number.

114656798256 is a gapful number since it is divisible by the number (16) 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 114656798256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204251593728).

114656798256 is an abundant number, since it is smaller than the sum of its proper divisors (293846389200).

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

114656798256 is a wasteful number, since it uses less digits than its factorization.

114656798256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 543 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 60.

The spelling of 114656798256 in words is "one hundred fourteen billion, six hundred fifty-six million, seven hundred ninety-eight thousand, two hundred fifty-six".