963829398048 has 192 divisors, whose sum is σ = 2923212644352. Its totient is φ = 274813767680.

The previous prime is 963829398041. The next prime is 963829398061. The reversal of 963829398048 is 840893928369.

It is not an unprimeable number, because it can be changed into a prime (963829398041) 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 31 ways as a sum of consecutive naturals, for example, 123200665 + ... + 123208487.

It is an arithmetic number, because the mean of its divisors is an integer number (15225065856).

Almost surely, 2^963829398048 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 963829398048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461606322176).

963829398048 is an abundant number, since it is smaller than the sum of its proper divisors (1959383246304).

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

963829398048 is a wasteful number, since it uses less digits than its factorization.

963829398048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14727 (or 14719 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 69.

The spelling of 963829398048 in words is "nine hundred sixty-three billion, eight hundred twenty-nine million, three hundred ninety-eight thousand, forty-eight".