114152514256 has 80 divisors (see below), whose sum is σ = 251193440448. Its totient is φ = 49793356800.

The previous prime is 114152514221. The next prime is 114152514263. The reversal of 114152514256 is 652415251411.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355311 + ... + 595441.

Almost surely, 2^114152514256 is an apocalyptic number.

114152514256 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 114152514256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125596720224).

114152514256 is an abundant number, since it is smaller than the sum of its proper divisors (137040926192).

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

114152514256 is a wasteful number, since it uses less digits than its factorization.

114152514256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240260 (or 240254 counting only the distinct ones).

The product of its digits is 48000, while the sum is 37.

Adding to 114152514256 its reverse (652415251411), we get a palindrome (766567765667).

The spelling of 114152514256 in words is "one hundred fourteen billion, one hundred fifty-two million, five hundred fourteen thousand, two hundred fifty-six".