114113410414024 has 128 divisors (see below), whose sum is σ = 245762846392320. Its totient is φ = 48659703206400.

The previous prime is 114113410414009. The next prime is 114113410414037. The reversal of 114113410414024 is 420414014311411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20207790769 + ... + 20207796415.

It is an arithmetic number, because the mean of its divisors is an integer number (1920022237440).

Almost surely, 2^{114113410414024} is an apocalyptic number.

114113410414024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114113410414024 is an abundant number, since it is smaller than the sum of its proper divisors (131649435978296).

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

114113410414024 is a wasteful number, since it uses less digits than its factorization.

114113410414024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8219 (or 8215 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

Adding to 114113410414024 its reverse (420414014311411), we get a palindrome (534527424725435).

The spelling of 114113410414024 in words is "one hundred fourteen trillion, one hundred thirteen billion, four hundred ten million, four hundred fourteen thousand, twenty-four".