444984564380928 has 288 divisors, whose sum is σ = 1393268789133312. Its totient is φ = 124299972403200.

The previous prime is 444984564380927. The next prime is 444984564380969. The reversal of 444984564380928 is 829083465489444.

It is a super-2 number, since 2×444984564380928² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444984564380927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77055393 + ... + 82628703.

Almost surely, 2^{444984564380928} is an apocalyptic number.

444984564380928 is a gapful number since it is divisible by the number (48) 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 444984564380928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696634394566656).

444984564380928 is an abundant number, since it is smaller than the sum of its proper divisors (948284224752384).

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

444984564380928 is a wasteful number, since it uses less digits than its factorization.

444984564380928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574081 (or 5574067 counting only the distinct ones).

The product of its (nonzero) digits is 7644119040, while the sum is 78.

The spelling of 444984564380928 in words is "four hundred forty-four trillion, nine hundred eighty-four billion, five hundred sixty-four million, three hundred eighty thousand, nine hundred twenty-eight".