10838217681 has 24 divisors (see below), whose sum is σ = 15915161184. Its totient is φ = 7105855680.

The previous prime is 10838217673. The next prime is 10838217701. The reversal of 10838217681 is 18671283801.

It is a happy number.

It is not a de Polignac number, because 10838217681 - 2³ = 10838217673 is a prime.

It is a super-2 number, since 2×10838217681² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10838212681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357486 + ... + 386616.

It is an arithmetic number, because the mean of its divisors is an integer number (663131716).

Almost surely, 2^10838217681 is an apocalyptic number.

It is an amenable number.

10838217681 is a deficient number, since it is larger than the sum of its proper divisors (5076943503).

10838217681 is a wasteful number, since it uses less digits than its factorization.

10838217681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29821 (or 29818 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 10838217681 in words is "ten billion, eight hundred thirty-eight million, two hundred seventeen thousand, six hundred eighty-one".