114298736256 has 384 divisors, whose sum is σ = 356711544000. Its totient is φ = 36023961600.

The previous prime is 114298736219. The next prime is 114298736281. The reversal of 114298736256 is 652637892411.

It is a happy number.

114298736256 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 9 + 8 + 7 + 3 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×114298736256² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 184650315 + ... + 184650933.

Almost surely, 2^114298736256 is an apocalyptic number.

114298736256 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 114298736256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178355772000).

114298736256 is an abundant number, since it is smaller than the sum of its proper divisors (242412807744).

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

114298736256 is a wasteful number, since it uses less digits than its factorization.

114298736256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 748 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 114298736256 in words is "one hundred fourteen billion, two hundred ninety-eight million, seven hundred thirty-six thousand, two hundred fifty-six".