444466253232 has 120 divisors (see below), whose sum is σ = 1295794980480. Its totient is φ = 142060677120.

The previous prime is 444466253227. The next prime is 444466253233. The reversal of 444466253232 is 232352664444.

444466253232 is a `hidden beast` number, since 4 + 44 + 46 + 6 + 2 + 532 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (444466253233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29848 + ... + 943304.

It is an arithmetic number, because the mean of its divisors is an integer number (10798291504).

Almost surely, 2^444466253232 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 444466253232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647897490240).

444466253232 is an abundant number, since it is smaller than the sum of its proper divisors (851328727248).

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

444466253232 is a wasteful number, since it uses less digits than its factorization.

444466253232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913611 (or 913602 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 45.

The spelling of 444466253232 in words is "four hundred forty-four billion, four hundred sixty-six million, two hundred fifty-three thousand, two hundred thirty-two".