985967019456 has 448 divisors, whose sum is σ = 2953728529920. Its totient is φ = 288423936000.

The previous prime is 985967019391. The next prime is 985967019461. The reversal of 985967019456 is 654910769589.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1509903226 + ... + 1509903878.

It is an arithmetic number, because the mean of its divisors is an integer number (6593144040).

Almost surely, 2^985967019456 is an apocalyptic number.

985967019456 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 985967019456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476864264960).

985967019456 is an abundant number, since it is smaller than the sum of its proper divisors (1967761510464).

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

985967019456 is a wasteful number, since it uses less digits than its factorization.

985967019456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 69.

The spelling of 985967019456 in words is "nine hundred eighty-five billion, nine hundred sixty-seven million, nineteen thousand, four hundred fifty-six".