963014868928 has 168 divisors, whose sum is σ = 2264231793600. Its totient is φ = 405122844672.

The previous prime is 963014868911. The next prime is 963014868929. The reversal of 963014868928 is 829868410369.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 963014868928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963014868929) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42848478 + ... + 42870946.

It is an arithmetic number, because the mean of its divisors is an integer number (13477570200).

Almost surely, 2^963014868928 is an apocalyptic number.

963014868928 is a gapful number since it is divisible by the number (98) 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 963014868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132115896800).

963014868928 is an abundant number, since it is smaller than the sum of its proper divisors (1301216924672).

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

963014868928 is a wasteful number, since it uses less digits than its factorization.

963014868928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22747 (or 22730 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 64.

The spelling of 963014868928 in words is "nine hundred sixty-three billion, fourteen million, eight hundred sixty-eight thousand, nine hundred twenty-eight".