26149153849 has 27 divisors (see below), whose sum is σ = 32956817517. Its totient is φ = 20677797504.

The previous prime is 26149153843. The next prime is 26149153889. The reversal of 26149153849 is 94835194162.

The square root of 26149153849 is 161707.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3667150249 + 22482003600 = 60557^2 + 149940^2 .

It is not a de Polignac number, because 26149153849 - 2¹⁷ = 26149022777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 26149153796 and 26149153805.

It is not an unprimeable number, because it can be changed into a prime (26149153843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14714449 + ... + 14716225.

It is an arithmetic number, because the mean of its divisors is an integer number (1220622871).

Almost surely, 2^26149153849 is an apocalyptic number.

26149153849 is the 161707-th square number.

26149153849 is the 80854-th centered octagonal number.

It is an amenable number.

26149153849 is a deficient number, since it is larger than the sum of its proper divisors (6807663668).

26149153849 is an frugal number, since it uses more digits than its factorization.

26149153849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 1797 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The spelling of 26149153849 in words is "twenty-six billion, one hundred forty-nine million, one hundred fifty-three thousand, eight hundred forty-nine".