982246904352 has 480 divisors, whose sum is σ = 3391772009472. Its totient is φ = 273016106496.

The previous prime is 982246904333. The next prime is 982246904357. The reversal of 982246904352 is 253409642289.

982246904352 is a `hidden beast` number, since 9 + 8 + 224 + 69 + 0 + 4 + 352 = 666.

It is a super-2 number, since 2×982246904352² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (982246904357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 205188103 + ... + 205192889.

Almost surely, 2^982246904352 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 982246904352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695886004736).

982246904352 is an abundant number, since it is smaller than the sum of its proper divisors (2409525105120).

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

982246904352 is a wasteful number, since it uses less digits than its factorization.

982246904352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 982246904352 in words is "nine hundred eighty-two billion, two hundred forty-six million, nine hundred four thousand, three hundred fifty-two".