964946688489 has 81 divisors (see below), whose sum is σ = 1680252025413. Its totient is φ = 532054321344.

The previous prime is 964946688469. The next prime is 964946688539. The reversal of 964946688489 is 984886649469.

The square root of 964946688489 is 982317.

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

964946688489 is a `hidden beast` number, since 9 + 6 + 494 + 6 + 6 + 88 + 48 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21701709225 + 943244979264 = 147315^2 + 971208^2 .

It is not a de Polignac number, because 964946688489 - 2⁵ = 964946688457 is a prime.

It is a super-2 number, since 2×964946688489² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (964946688439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 598230247 + ... + 598231859.

Almost surely, 2^964946688489 is an apocalyptic number.

964946688489 is the 982317-th square number.

964946688489 is the 491159-th centered octagonal number.

It is an amenable number.

964946688489 is a deficient number, since it is larger than the sum of its proper divisors (715305336924).

964946688489 is an equidigital number, since it uses as much as digits as its factorization.

964946688489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 1652 counting only the distinct ones).

The product of its digits is 5159780352, while the sum is 81.

Multiplying 964946688489 by its sum of digits (81), we get a square (78160681767609 = 8840853²).

The spelling of 964946688489 in words is "nine hundred sixty-four billion, nine hundred forty-six million, six hundred eighty-eight thousand, four hundred eighty-nine".