36673414356353 has 2 divisors, whose sum is σ = 36673414356354. Its totient is φ = 36673414356352.

The previous prime is 36673414356281. The next prime is 36673414356407. The reversal of 36673414356353 is 35365341437663.

36673414356353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23249639516944 + 13423774839409 = 4821788^2 + 3663847^2 .

It is a cyclic number.

It is not a de Polignac number, because 36673414356353 - 2²⁶ = 36673347247489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36673414356292 and 36673414356301.

It is not a weakly prime, because it can be changed into another prime (36673414359353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18336707178176 + 18336707178177.

It is an arithmetic number, because the mean of its divisors is an integer number (18336707178177).

Almost surely, 2^{36673414356353} is an apocalyptic number.

It is an amenable number.

36673414356353 is a deficient number, since it is larger than the sum of its proper divisors (1).

36673414356353 is an equidigital number, since it uses as much as digits as its factorization.

36673414356353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 146966400, while the sum is 59.

The spelling of 36673414356353 in words is "thirty-six trillion, six hundred seventy-three billion, four hundred fourteen million, three hundred fifty-six thousand, three hundred fifty-three".