444564554425134 has 192 divisors, whose sum is σ = 1109118649250304. Its totient is φ = 117769338720000.

The previous prime is 444564554425073. The next prime is 444564554425139. The reversal of 444564554425134 is 431524455465444.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444564554425139) 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 95 ways as a sum of consecutive naturals, for example, 11785929 + ... + 32063019.

It is an arithmetic number, because the mean of its divisors is an integer number (5776659631512).

Almost surely, 2^{444564554425134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444564554425134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554559324625152).

444564554425134 is an abundant number, since it is smaller than the sum of its proper divisors (664554094825170).

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

444564554425134 is a wasteful number, since it uses less digits than its factorization.

444564554425134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20277255 (or 20277244 counting only the distinct ones).

The product of its digits is 368640000, while the sum is 60.

The spelling of 444564554425134 in words is "four hundred forty-four trillion, five hundred sixty-four billion, five hundred fifty-four million, four hundred twenty-five thousand, one hundred thirty-four".