444864468444 has 96 divisors (see below), whose sum is σ = 1200503334912. Its totient is φ = 126932832000.

The previous prime is 444864468421. The next prime is 444864468457.

444864468444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444864468444² (a number of 24 digits) contains 22 as substring.

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, 1317727 + ... + 1620534.

It is an arithmetic number, because the mean of its divisors is an integer number (12505243072).

Almost surely, 2^444864468444 is an apocalyptic number.

444864468444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444864468444 is an abundant number, since it is smaller than the sum of its proper divisors (755638866468).

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

444864468444 is a wasteful number, since it uses less digits than its factorization.

444864468444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938347 (or 2938345 counting only the distinct ones).

The product of its digits is 150994944, while the sum is 60.

The spelling of 444864468444 in words is "four hundred forty-four billion, eight hundred sixty-four million, four hundred sixty-eight thousand, four hundred forty-four".