36281881441 has 12 divisors (see below), whose sum is σ = 39292867692. Its totient is φ = 33486375936.

The previous prime is 36281881409. The next prime is 36281881451. The reversal of 36281881441 is 14418818263.

It can be written as a sum of positive squares in 6 ways, for example, as 7313841441 + 28968040000 = 85521^2 + 170200^2 .

It is not a de Polignac number, because 36281881441 - 2⁵ = 36281881409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36281881391 and 36281881400.

It is not an unprimeable number, because it can be changed into a prime (36281881451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2245905 + ... + 2262001.

It is an arithmetic number, because the mean of its divisors is an integer number (3274405641).

Almost surely, 2^36281881441 is an apocalyptic number.

It is an amenable number.

36281881441 is a deficient number, since it is larger than the sum of its proper divisors (3010986251).

36281881441 is a wasteful number, since it uses less digits than its factorization.

36281881441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29460 (or 29447 counting only the distinct ones).

The product of its digits is 294912, while the sum is 46.

The spelling of 36281881441 in words is "thirty-six billion, two hundred eighty-one million, eight hundred eighty-one thousand, four hundred forty-one".