36381366121 has 9 divisors (see below), whose sum is σ = 38036525079. Its totient is φ = 34795371336.

The previous prime is 36381366107. The next prime is 36381366127. The reversal of 36381366121 is 12166318363.

The square root of 36381366121 is 190739.

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

It can be written as a sum of positive squares in only one way, i.e., 7943265625 + 28438100496 = 89125^2 + 168636^2 .

It is not a de Polignac number, because 36381366121 - 2⁵ = 36381366089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36381366127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4382851 + ... + 4391143.

Almost surely, 2^36381366121 is an apocalyptic number.

36381366121 is the 190739-th square number.

36381366121 is the 95370-th centered octagonal number.

It is an amenable number.

36381366121 is a deficient number, since it is larger than the sum of its proper divisors (1655158958).

36381366121 is an frugal number, since it uses more digits than its factorization.

36381366121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16632 (or 8316 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The spelling of 36381366121 in words is "thirty-six billion, three hundred eighty-one million, three hundred sixty-six thousand, one hundred twenty-one".