114034114234044 has 96 divisors (see below), whose sum is σ = 296028540864000. Its totient is φ = 37961936546688.

The previous prime is 114034114234039. The next prime is 114034114234063. The reversal of 114034114234044 is 440432411430411.

114034114234044 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 3 + 411 + 4 + 234 + 0 + 4 + 4 = 666.

It is a super-3 number, since 3×114034114234044³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1789608817 + ... + 1789672535.

It is an arithmetic number, because the mean of its divisors is an integer number (3083630634000).

Almost surely, 2^{114034114234044} is an apocalyptic number.

It is an amenable number.

114034114234044 is an abundant number, since it is smaller than the sum of its proper divisors (181994426629956).

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

114034114234044 is a wasteful number, since it uses less digits than its factorization.

114034114234044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85024 (or 85016 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 114034114234044 its reverse (440432411430411), we get a palindrome (554466525664455).

The spelling of 114034114234044 in words is "one hundred fourteen trillion, thirty-four billion, one hundred fourteen million, two hundred thirty-four thousand, forty-four".