982764951168 has 1024 divisors, whose sum is σ = 3658933555200. Its totient is φ = 225430732800.

The previous prime is 982764951149. The next prime is 982764951193. The reversal of 982764951168 is 861159467289.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 982764951099 and 982764951108.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1460274480 + ... + 1460275152.

It is an arithmetic number, because the mean of its divisors is an integer number (3573177300).

Almost surely, 2^982764951168 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 982764951168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829466777600).

982764951168 is an abundant number, since it is smaller than the sum of its proper divisors (2676168604032).

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

982764951168 is a wasteful number, since it uses less digits than its factorization.

982764951168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 869 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 66.

The spelling of 982764951168 in words is "nine hundred eighty-two billion, seven hundred sixty-four million, nine hundred fifty-one thousand, one hundred sixty-eight".