10338629696 has 56 divisors (see below), whose sum is σ = 21759144696. Its totient is φ = 4857036800.

The previous prime is 10338629671. The next prime is 10338629729. The reversal of 10338629696 is 69692683301.

It can be written as a sum of positive squares in 4 ways, for example, as 3158440000 + 7180189696 = 56200^2 + 84736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 663596 + ... + 678996.

Almost surely, 2^10338629696 is an apocalyptic number.

10338629696 is a gapful number since it is divisible by the number (16) 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 10338629696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10879572348).

10338629696 is an abundant number, since it is smaller than the sum of its proper divisors (11420515000).

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

10338629696 is a wasteful number, since it uses less digits than its factorization.

10338629696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16047 (or 16037 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 53.

The spelling of 10338629696 in words is "ten billion, three hundred thirty-eight million, six hundred twenty-nine thousand, six hundred ninety-six".