11138902681 has 3 divisors (see below), whose sum is σ = 11139008223. Its totient is φ = 11138797140.

The previous prime is 11138902669. The next prime is 11138902717. The reversal of 11138902681 is 18620983111.

It is a happy number.

The square root of 11138902681 is 105541.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 10108492681 + 1030410000 = 100541^2 + 32100^2 .

It is not a de Polignac number, because 11138902681 - 2³¹ = 8991419033 is a prime.

It is a super-2 number, since 2×11138902681² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11138902661) 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 2 ways as a sum of consecutive naturals, for example, 52771 + ... + 158311.

It is an arithmetic number, because the mean of its divisors is an integer number (3713002741).

Almost surely, 2^11138902681 is an apocalyptic number.

11138902681 is the 105541-st square number.

11138902681 is the 52771-st centered octagonal number.

It is an amenable number.

11138902681 is a deficient number, since it is larger than the sum of its proper divisors (105542).

11138902681 is an frugal number, since it uses more digits than its factorization.

11138902681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211082 (or 105541 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

Multiplying 11138902681 by its product of nonzero digits (20736), we get a square (230976285993216 = 15197904²).

The spelling of 11138902681 in words is "eleven billion, one hundred thirty-eight million, nine hundred two thousand, six hundred eighty-one".