444376448352 has 84 divisors (see below), whose sum is σ = 1311699222540. Its totient is φ = 148125475008.

The previous prime is 444376448297. The next prime is 444376448447. The reversal of 444376448352 is 253844673444.

444376448352 is a `hidden beast` number, since 4 + 4 + 43 + 76 + 4 + 483 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 9501202 + ... + 9547857.

It is an arithmetic number, because the mean of its divisors is an integer number (15615466935).

Almost surely, 2^444376448352 is an apocalyptic number.

It is an amenable number.

444376448352 is an abundant number, since it is smaller than the sum of its proper divisors (867322774188).

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

444376448352 is an equidigital number, since it uses as much as digits as its factorization.

444376448352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19049087 (or 19049064 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 54.

It can be divided in two parts, 4443 and 76448352, that added together give a triangular number (76452795 = T₁₂₃₆₅).

The spelling of 444376448352 in words is "four hundred forty-four billion, three hundred seventy-six million, four hundred forty-eight thousand, three hundred fifty-two".