114512324256 has 144 divisors (see below), whose sum is σ = 360551344608. Its totient is φ = 34182720000.

The previous prime is 114512324221. The next prime is 114512324371. The reversal of 114512324256 is 652423215411.

114512324256 is a `hidden beast` number, since 114 + 512 + 3 + 2 + 4 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×114512324256² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114512324256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57495 + ... + 482006.

It is an arithmetic number, because the mean of its divisors is an integer number (2503828782).

Almost surely, 2^114512324256 is an apocalyptic number.

114512324256 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 114512324256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180275672304).

114512324256 is an abundant number, since it is smaller than the sum of its proper divisors (246039020352).

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

114512324256 is a wasteful number, since it uses less digits than its factorization.

114512324256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539595 (or 539584 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 114512324256 its reverse (652423215411), we get a palindrome (766935539667).

The spelling of 114512324256 in words is "one hundred fourteen billion, five hundred twelve million, three hundred twenty-four thousand, two hundred fifty-six".