985456881864 has 480 divisors, whose sum is σ = 3542220574200. Its totient is φ = 253557319680.

The previous prime is 985456881859. The next prime is 985456881887. The reversal of 985456881864 is 468188654589.

985456881864 is a `hidden beast` number, since 9 + 8 + 54 + 568 + 8 + 1 + 8 + 6 + 4 = 666.

985456881864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 493436002500 + 492020879364 = 702450^2 + 701442^2 .

It is a super-2 number, since 2×985456881864² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 985456881792 and 985456881801.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16894702 + ... + 16952930.

Almost surely, 2^985456881864 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 985456881864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771110287100).

985456881864 is an abundant number, since it is smaller than the sum of its proper divisors (2556763692336).

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

985456881864 is a wasteful number, since it uses less digits than its factorization.

985456881864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58315 (or 58295 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 72.

The spelling of 985456881864 in words is "nine hundred eighty-five billion, four hundred fifty-six million, eight hundred eighty-one thousand, eight hundred sixty-four".