36446335107137 has 2 divisors, whose sum is σ = 36446335107138. Its totient is φ = 36446335107136.

The previous prime is 36446335107107. The next prime is 36446335107139. The reversal of 36446335107137 is 73170153364463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26873845632001 + 9572489475136 = 5183999^2 + 3093944^2 .

It is a cyclic number.

It is not a de Polignac number, because 36446335107137 - 2²⁴ = 36446318329921 is a prime.

Together with 36446335107139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36446335107139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18223167553568 + 18223167553569.

It is an arithmetic number, because the mean of its divisors is an integer number (18223167553569).

Almost surely, 2^{36446335107137} is an apocalyptic number.

It is an amenable number.

36446335107137 is a deficient number, since it is larger than the sum of its proper divisors (1).

36446335107137 is an equidigital number, since it uses as much as digits as its factorization.

36446335107137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11430720, while the sum is 53.

The spelling of 36446335107137 in words is "thirty-six trillion, four hundred forty-six billion, three hundred thirty-five million, one hundred seven thousand, one hundred thirty-seven".