10638733017 has 32 divisors (see below), whose sum is σ = 15610525056. Its totient is φ = 6391296000.

The previous prime is 10638733003. The next prime is 10638733019. The reversal of 10638733017 is 71033783601.

It is not a de Polignac number, because 10638733017 - 2⁸ = 10638732761 is a prime.

It is a super-2 number, since 2×10638733017² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10638733019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1863267 + ... + 1868967.

It is an arithmetic number, because the mean of its divisors is an integer number (487828908).

Almost surely, 2^10638733017 is an apocalyptic number.

It is an amenable number.

10638733017 is a deficient number, since it is larger than the sum of its proper divisors (4971792039).

10638733017 is a wasteful number, since it uses less digits than its factorization.

10638733017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6201.

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 10638733017 in words is "ten billion, six hundred thirty-eight million, seven hundred thirty-three thousand, seventeen".