114412742724 has 72 divisors (see below), whose sum is σ = 307827432640. Its totient is φ = 32399764992.

The previous prime is 114412742699. The next prime is 114412742779. The reversal of 114412742724 is 427247214411.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 1019262 + ... + 1125930.

Almost surely, 2^114412742724 is an apocalyptic number.

114412742724 is a gapful number since it is divisible by the number (14) 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 114412742724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153913716320).

114412742724 is an abundant number, since it is smaller than the sum of its proper divisors (193414689916).

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

114412742724 is a wasteful number, since it uses less digits than its factorization.

114412742724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106909 (or 106794 counting only the distinct ones).

The product of its digits is 100352, while the sum is 39.

The spelling of 114412742724 in words is "one hundred fourteen billion, four hundred twelve million, seven hundred forty-two thousand, seven hundred twenty-four".