444954363459444 has 288 divisors, whose sum is σ = 1182637231435296. Its totient is φ = 140911841341440.

The previous prime is 444954363459337. The next prime is 444954363459451.

444954363459444 is a `hidden beast` number, since 4 + 4 + 4 + 9 + 543 + 6 + 34 + 5 + 9 + 4 + 44 = 666.

444954363459444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 59984064623844 + 384970298835600 = 7744938^2 + 19620660^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9516292114 + ... + 9516338870.

It is an arithmetic number, because the mean of its divisors is an integer number (4106379275817).

Almost surely, 2^{444954363459444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444954363459444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591318615717648).

444954363459444 is an abundant number, since it is smaller than the sum of its proper divisors (737682867975852).

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

444954363459444 is a wasteful number, since it uses less digits than its factorization.

444954363459444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47715 (or 47710 counting only the distinct ones).

The product of its digits is 7166361600, while the sum is 72.

The spelling of 444954363459444 in words is "four hundred forty-four trillion, nine hundred fifty-four billion, three hundred sixty-three million, four hundred fifty-nine thousand, four hundred forty-four".