10363696128 has 264 divisors, whose sum is σ = 32792203080. Its totient is φ = 3137863680.

The previous prime is 10363696117. The next prime is 10363696141. The reversal of 10363696128 is 82169636301.

10363696128 is a `hidden beast` number, since 1 + 0 + 3 + 636 + 9 + 6 + 1 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3339915264 + 7023780864 = 57792^2 + 83808^2 .

It is a super-3 number, since 3×10363696128³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4542348 + ... + 4544628.

Almost surely, 2^10363696128 is an apocalyptic number.

10363696128 is a gapful number since it is divisible by the number (18) 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 10363696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16396101540).

10363696128 is an abundant number, since it is smaller than the sum of its proper divisors (22428506952).

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

10363696128 is a wasteful number, since it uses less digits than its factorization.

10363696128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10363696128 in words is "ten billion, three hundred sixty-three million, six hundred ninety-six thousand, one hundred twenty-eight".