984349403856 has 720 divisors, whose sum is σ = 3694636528128. Its totient is φ = 251214566400.

The previous prime is 984349403797. The next prime is 984349403861. The reversal of 984349403856 is 658304943489.

984349403856 is a `hidden beast` number, since 98 + 4 + 3 + 494 + 0 + 3 + 8 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 984349403793 and 984349403802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76769926 + ... + 76782746.

Almost surely, 2^984349403856 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 984349403856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847318264064).

984349403856 is an abundant number, since it is smaller than the sum of its proper divisors (2710287124272).

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

984349403856 is a wasteful number, since it uses less digits than its factorization.

984349403856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12902 (or 12877 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 984349403856 in words is "nine hundred eighty-four billion, three hundred forty-nine million, four hundred three thousand, eight hundred fifty-six".