114335151004144 has 120 divisors (see below), whose sum is σ = 266592229259760. Its totient is φ = 47308485353472.

The previous prime is 114335151004117. The next prime is 114335151004157. The reversal of 114335151004144 is 441400151533411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442836432 + ... + 443094544.

It is an arithmetic number, because the mean of its divisors is an integer number (2221601910498).

Almost surely, 2^{114335151004144} is an apocalyptic number.

114335151004144 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 114335151004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133296114629880).

114335151004144 is an abundant number, since it is smaller than the sum of its proper divisors (152257078255616).

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

114335151004144 is a wasteful number, since it uses less digits than its factorization.

114335151004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277647 (or 277634 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 114335151004144 in words is "one hundred fourteen trillion, three hundred thirty-five billion, one hundred fifty-one million, four thousand, one hundred forty-four".