444642123133361 has 32 divisors (see below), whose sum is σ = 480130696281600. Its totient is φ = 410391225889920.

The previous prime is 444642123133319. The next prime is 444642123133421. The reversal of 444642123133361 is 163331321246444.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-444642123133361 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (444642123133961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2185741910 + ... + 2185945328.

It is an arithmetic number, because the mean of its divisors is an integer number (15004084258800).

Almost surely, 2^{444642123133361} is an apocalyptic number.

444642123133361 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

444642123133361 is a deficient number, since it is larger than the sum of its proper divisors (35488573148239).

444642123133361 is a wasteful number, since it uses less digits than its factorization.

444642123133361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207389.

The product of its digits is 2985984, while the sum is 47.

The spelling of 444642123133361 in words is "four hundred forty-four trillion, six hundred forty-two billion, one hundred twenty-three million, one hundred thirty-three thousand, three hundred sixty-one".