444266108345664 has 336 divisors, whose sum is σ = 1451262015350784. Its totient is φ = 128713632998400.

The previous prime is 444266108345597. The next prime is 444266108345671. The reversal of 444266108345664 is 466543801662444.

444266108345664 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 6 + 61 + 0 + 8 + 3 + 4 + 566 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2676847 + ... + 29928209.

It is an arithmetic number, because the mean of its divisors is an integer number (4319232188544).

Almost surely, 2^{444266108345664} is an apocalyptic number.

444266108345664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444266108345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725631007675392).

444266108345664 is an abundant number, since it is smaller than the sum of its proper divisors (1006995907005120).

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

444266108345664 is a wasteful number, since it uses less digits than its factorization.

444266108345664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27251506 (or 27251493 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 63.

The spelling of 444266108345664 in words is "four hundred forty-four trillion, two hundred sixty-six billion, one hundred eight million, three hundred forty-five thousand, six hundred sixty-four".