36861424392321 has 27 divisors (see below), whose sum is σ = 53338818294723. Its totient is φ = 24530726984400.

The previous prime is 36861424392307. The next prime is 36861424392341. The reversal of 36861424392321 is 12329342416863.

The square root of 36861424392321 is 6071361.

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

36861424392321 is a `hidden beast` number, since 3 + 6 + 86 + 142 + 4 + 392 + 32 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31790550932721 + 5070873459600 = 5638311^2 + 2251860^2 .

It is not a de Polignac number, because 36861424392321 - 2¹³ = 36861424384129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36861424392301) 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, 12768070740 + ... + 12768073626.

Almost surely, 2^{36861424392321} is an apocalyptic number.

36861424392321 is the 6071361-st square number.

36861424392321 is the 3035681-st centered octagonal number.

It is an amenable number.

36861424392321 is a deficient number, since it is larger than the sum of its proper divisors (16477393902402).

36861424392321 is an frugal number, since it uses more digits than its factorization.

36861424392321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7182 (or 3591 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 36861424392321 in words is "thirty-six trillion, eight hundred sixty-one billion, four hundred twenty-four million, three hundred ninety-two thousand, three hundred twenty-one".