444108061912992 has 384 divisors, whose sum is σ = 1217444836608000. Its totient is φ = 141581233274880.

The previous prime is 444108061912981. The next prime is 444108061913029. The reversal of 444108061912992 is 299219160801444.

It is a super-2 number, since 2×444108061912992² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111333179734 + ... + 111333183722.

It is an arithmetic number, because the mean of its divisors is an integer number (3170429262000).

Almost surely, 2^{444108061912992} 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 444108061912992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608722418304000).

444108061912992 is an abundant number, since it is smaller than the sum of its proper divisors (773336774695008).

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

444108061912992 is a wasteful number, since it uses less digits than its factorization.

444108061912992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5104 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 60.

The spelling of 444108061912992 in words is "four hundred forty-four trillion, one hundred eight billion, sixty-one million, nine hundred twelve thousand, nine hundred ninety-two".