10638882814 has 32 divisors (see below), whose sum is σ = 18601560576. Its totient is φ = 4468832160.

The previous prime is 10638882809. The next prime is 10638882847. The reversal of 10638882814 is 41828883601.

It is a super-2 number, since 2×10638882814² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758049 + ... + 771955.

It is an arithmetic number, because the mean of its divisors is an integer number (581298768).

Almost surely, 2^10638882814 is an apocalyptic number.

10638882814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10638882814 is a deficient number, since it is larger than the sum of its proper divisors (7962677762).

10638882814 is a wasteful number, since it uses less digits than its factorization.

10638882814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15000.

The product of its (nonzero) digits is 589824, while the sum is 49.

The spelling of 10638882814 in words is "ten billion, six hundred thirty-eight million, eight hundred eighty-two thousand, eight hundred fourteen".