444899672064 has 315 divisors, whose sum is σ = 1340995995633. Its totient is φ = 147531497472.

The previous prime is 444899671987. The next prime is 444899672111. The reversal of 444899672064 is 460276998444.

The square root of 444899672064 is 667008.

It is a perfect power (a square), and thus also a powerful number.

444899672064 is a `hidden beast` number, since 4 + 4 + 489 + 96 + 7 + 2 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107794022400 + 337105649664 = 328320^2 + 580608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 444899671992 and 444899672010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2305179552 + ... + 2305179744.

Almost surely, 2^444899672064 is an apocalyptic number.

444899672064 is the 667008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444899672064

444899672064 is an abundant number, since it is smaller than the sum of its proper divisors (896096323569).

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

444899672064 is an frugal number, since it uses more digits than its factorization.

444899672064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 444899672064 in words is "four hundred forty-four billion, eight hundred ninety-nine million, six hundred seventy-two thousand, sixty-four".