10838683881 has 9 divisors (see below), whose sum is σ = 15656327869. Its totient is φ = 7225581036.

The previous prime is 10838683789. The next prime is 10838683901. The reversal of 10838683881 is 18838683801.

It is a happy number.

The square root of 10838683881 is 104109.

It is a perfect power (a square), and thus also a powerful number.

10838683881 is a `hidden beast` number, since 108 + 386 + 83 + 8 + 81 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10838683881 - 2¹⁹ = 10838159593 is a prime.

It is a super-2 number, since 2×10838683881² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10838683381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 294976 + ... + 329678.

Almost surely, 2^10838683881 is an apocalyptic number.

10838683881 is the 104109-th square number.

10838683881 is the 52055-th centered octagonal number.

It is an amenable number.

10838683881 is a deficient number, since it is larger than the sum of its proper divisors (4817643988).

10838683881 is an frugal number, since it uses more digits than its factorization.

10838683881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69412 (or 34706 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 10838683881 in words is "ten billion, eight hundred thirty-eight million, six hundred eighty-three thousand, eight hundred eighty-one".