984403326816 has 1152 divisors, whose sum is σ = 3838816800000. Its totient is φ = 231871610880.

The previous prime is 984403326773. The next prime is 984403326853. The reversal of 984403326816 is 618623304489.

984403326816 is a `hidden beast` number, since 98 + 440 + 3 + 32 + 6 + 81 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 788152560 + ... + 788153808.

It is an arithmetic number, because the mean of its divisors is an integer number (3332306250).

Almost surely, 2^984403326816 is an apocalyptic number.

984403326816 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 984403326816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919408400000).

984403326816 is an abundant number, since it is smaller than the sum of its proper divisors (2854413473184).

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

984403326816 is a wasteful number, since it uses less digits than its factorization.

984403326816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 984403326816 in words is "nine hundred eighty-four billion, four hundred three million, three hundred twenty-six thousand, eight hundred sixteen".