981321090816 has 576 divisors, whose sum is σ = 3285319564800. Its totient is φ = 255983616000.

The previous prime is 981321090773. The next prime is 981321090823. The reversal of 981321090816 is 618090123189.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 79126216 + ... + 79138616.

It is an arithmetic number, because the mean of its divisors is an integer number (5703679800).

Almost surely, 2^981321090816 is an apocalyptic number.

981321090816 is a gapful number since it is divisible by the number (96) 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 981321090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642659782400).

981321090816 is an abundant number, since it is smaller than the sum of its proper divisors (2303998473984).

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

981321090816 is a wasteful number, since it uses less digits than its factorization.

981321090816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12496 (or 12482 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 981321090816 in words is "nine hundred eighty-one billion, three hundred twenty-one million, ninety thousand, eight hundred sixteen".