114012542004456 has 256 divisors, whose sum is σ = 300851461785600. Its totient is φ = 35934776672256.

The previous prime is 114012542004451. The next prime is 114012542004509. The reversal of 114012542004456 is 654400245210411.

114012542004456 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (114012542004451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59786334655 + ... + 59786336561.

It is an arithmetic number, because the mean of its divisors is an integer number (1175201022600).

Almost surely, 2^{114012542004456} 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 114012542004456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150425730892800).

114012542004456 is an abundant number, since it is smaller than the sum of its proper divisors (186838919781144).

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

114012542004456 is a wasteful number, since it uses less digits than its factorization.

114012542004456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

Adding to 114012542004456 its reverse (654400245210411), we get a palindrome (768412787214867).

The spelling of 114012542004456 in words is "one hundred fourteen trillion, twelve billion, five hundred forty-two million, four thousand, four hundred fifty-six".