444858707858444 has 96 divisors (see below), whose sum is σ = 901401856185600. Its totient is φ = 191557619510400.

The previous prime is 444858707858437. The next prime is 444858707858449.

444858707858444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444858707858444² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444858707858449) 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, 2703716459 + ... + 2703880989.

It is an arithmetic number, because the mean of its divisors is an integer number (9389602668600).

Almost surely, 2^{444858707858444} is an apocalyptic number.

444858707858444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444858707858444 is an abundant number, since it is smaller than the sum of its proper divisors (456543148327156).

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

444858707858444 is a wasteful number, since it uses less digits than its factorization.

444858707858444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191316 (or 191292 counting only the distinct ones).

The product of its (nonzero) digits is 20552089600, while the sum is 80.

The spelling of 444858707858444 in words is "four hundred forty-four trillion, eight hundred fifty-eight billion, seven hundred seven million, eight hundred fifty-eight thousand, four hundred forty-four".