114444333314320 has 20 divisors (see below), whose sum is σ = 266083074955980. Its totient is φ = 45777733325696.

The previous prime is 114444333314317. The next prime is 114444333314383. The reversal of 114444333314320 is 23413333444411.

It can be written as a sum of positive squares in 2 ways, for example, as 20536449904656 + 93907883409664 = 4531716^2 + 9690608^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 715277083135 + ... + 715277083294.

It is an arithmetic number, because the mean of its divisors is an integer number (13304153747799).

Almost surely, 2^{114444333314320} is an apocalyptic number.

114444333314320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114444333314320 is an abundant number, since it is smaller than the sum of its proper divisors (151638741641660).

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

114444333314320 is a wasteful number, since it uses less digits than its factorization.

114444333314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430554166442 (or 1430554166436 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 40.

Adding to 114444333314320 its reverse (23413333444411), we get a palindrome (137857666758731).

The spelling of 114444333314320 in words is "one hundred fourteen trillion, four hundred forty-four billion, three hundred thirty-three million, three hundred fourteen thousand, three hundred twenty".