986859454464 has 405 divisors, whose sum is σ = 3102595134093. Its totient is φ = 302123188224.

The previous prime is 986859454433. The next prime is 986859454523. The reversal of 986859454464 is 464454958689.

The square root of 986859454464 is 993408.

It is a perfect power (a square), and thus also a powerful number.

986859454464 is a `hidden beast` number, since 9 + 8 + 68 + 59 + 4 + 54 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 145985126400 + 840874328064 = 382080^2 + 916992^2 .

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 = 986859454392 and 986859454401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4959092637 + ... + 4959092835.

Almost surely, 2^986859454464 is an apocalyptic number.

986859454464 is the 993408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 986859454464

986859454464 is an abundant number, since it is smaller than the sum of its proper divisors (2115735679629).

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

986859454464 is an equidigital number, since it uses as much as digits as its factorization.

986859454464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 217 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 986859454464 in words is "nine hundred eighty-six billion, eight hundred fifty-nine million, four hundred fifty-four thousand, four hundred sixty-four".