114440204001344 has 56 divisors (see below), whose sum is σ = 244576319429568. Its totient is φ = 52815229125120.

The previous prime is 114440204001329. The next prime is 114440204001359. The reversal of 114440204001344 is 443100402044411.

It is an interprime number because it is at equal distance from previous prime (114440204001329) and next prime (114440204001359).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 114440204001344.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8911109 + ... + 17558139.

It is an arithmetic number, because the mean of its divisors is an integer number (4367434275528).

Almost surely, 2^{114440204001344} is an apocalyptic number.

It is an amenable number.

114440204001344 is an abundant number, since it is smaller than the sum of its proper divisors (130136115428224).

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

114440204001344 is a wasteful number, since it uses less digits than its factorization.

114440204001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8662963 (or 8662953 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 114440204001344 its reverse (443100402044411), we get a palindrome (557540606045755).

The spelling of 114440204001344 in words is "one hundred fourteen trillion, four hundred forty billion, two hundred four million, one thousand, three hundred forty-four".