963334398016 has 63 divisors (see below), whose sum is σ = 1937368175421. Its totient is φ = 475263919104.

The previous prime is 963334398011. The next prime is 963334398017. The reversal of 963334398016 is 610893433369.

The square root of 963334398016 is 981496.

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

It can be written as a sum of positive squares in only one way, i.e., 97868865600 + 865465532416 = 312840^2 + 930304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (963334398011) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 620304696 + ... + 620306248.

Almost surely, 2^963334398016 is an apocalyptic number.

963334398016 is the 981496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 963334398016

963334398016 is an abundant number, since it is smaller than the sum of its proper divisors (974033777405).

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

963334398016 is an frugal number, since it uses more digits than its factorization.

963334398016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 55.

The spelling of 963334398016 in words is "nine hundred sixty-three billion, three hundred thirty-four million, three hundred ninety-eight thousand, sixteen".