8844099416064 has 1092 divisors, whose sum is σ = 30299372986680. Its totient is φ = 2558470717440.

The previous prime is 8844099416029. The next prime is 8844099416083. The reversal of 8844099416064 is 4606149904488.

8844099416064 is a `hidden beast` number, since 8 + 8 + 4 + 409 + 9 + 4 + 160 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8844099415992 and 8844099416010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 17375440642 + ... + 17375441150.

Almost surely, 2^{8844099416064} 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 8844099416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15149686493340).

8844099416064 is an abundant number, since it is smaller than the sum of its proper divisors (21455273570616).

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

8844099416064 is an equidigital number, since it uses as much as digits as its factorization.

8844099416064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 8844099416064 in words is "eight trillion, eight hundred forty-four billion, ninety-nine million, four hundred sixteen thousand, sixty-four".