368001212101993 has 2 divisors, whose sum is σ = 368001212101994. Its totient is φ = 368001212101992.

The previous prime is 368001212101927. The next prime is 368001212102021. The reversal of 368001212101993 is 399101212100863.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 367693932570409 + 307279531584 = 19175347^2 + 554328^2 .

It is a cyclic number.

It is not a de Polignac number, because 368001212101993 - 2⁴¹ = 365802188846441 is a prime.

It is a super-3 number, since 3×368001212101993³ (a number of 45 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (368001212101903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 184000606050996 + 184000606050997.

It is an arithmetic number, because the mean of its divisors is an integer number (184000606050997).

Almost surely, 2^{368001212101993} is an apocalyptic number.

It is an amenable number.

368001212101993 is a deficient number, since it is larger than the sum of its proper divisors (1).

368001212101993 is an equidigital number, since it uses as much as digits as its factorization.

368001212101993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 368001212101993 in words is "three hundred sixty-eight trillion, one billion, two hundred twelve million, one hundred one thousand, nine hundred ninety-three".