114034093344 has 72 divisors (see below), whose sum is σ = 328389384960. Its totient is φ = 37530200448.

The previous prime is 114034093339. The next prime is 114034093367. The reversal of 114034093344 is 443390430411.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 114034093299 and 114034093308.

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 11 ways as a sum of consecutive naturals, for example, 2483272 + ... + 2528775.

It is an arithmetic number, because the mean of its divisors is an integer number (4560963680).

Almost surely, 2^114034093344 is an apocalyptic number.

It is an amenable number.

114034093344 is an abundant number, since it is smaller than the sum of its proper divisors (214355291616).

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

114034093344 is a wasteful number, since it uses less digits than its factorization.

114034093344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012142 (or 5012131 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 114034093344 in words is "one hundred fourteen billion, thirty-four million, ninety-three thousand, three hundred forty-four".