36864460135321 has 27 divisors (see below), whose sum is σ = 46436293570653. Its totient is φ = 29167047786240.

The previous prime is 36864460135309. The next prime is 36864460135331. The reversal of 36864460135321 is 12353106446863.

It is a happy number.

The square root of 36864460135321 is 6071611.

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 6757686198025 + 30106773937296 = 2599555^2 + 5486964^2 .

It is not a de Polignac number, because 36864460135321 - 2¹⁹ = 36864459611033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36864460135331) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 552483241 + ... + 552549961.

It is an arithmetic number, because the mean of its divisors is an integer number (1719862724839).

Almost surely, 2^{36864460135321} is an apocalyptic number.

36864460135321 is the 6071611-st square number.

36864460135321 is the 3035806-th centered octagonal number.

It is an amenable number.

36864460135321 is a deficient number, since it is larger than the sum of its proper divisors (9571833435332).

36864460135321 is an frugal number, since it uses more digits than its factorization.

36864460135321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133482 (or 66741 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 52.

The spelling of 36864460135321 in words is "thirty-six trillion, eight hundred sixty-four billion, four hundred sixty million, one hundred thirty-five thousand, three hundred twenty-one".