83812088800369 has 2 divisors, whose sum is σ = 83812088800370. Its totient is φ = 83812088800368.

The previous prime is 83812088800351. The next prime is 83812088800403. The reversal of 83812088800369 is 96300888021838.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83695271814144 + 116816986225 = 9148512^2 + 341785^2 .

It is a cyclic number.

It is not a de Polignac number, because 83812088800369 - 2⁵ = 83812088800337 is a prime.

It is a super-2 number, since 2×83812088800369² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83812088800369.

It is not a weakly prime, because it can be changed into another prime (83812088800469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41906044400184 + 41906044400185.

It is an arithmetic number, because the mean of its divisors is an integer number (41906044400185).

Almost surely, 2^{83812088800369} is an apocalyptic number.

It is an amenable number.

83812088800369 is a deficient number, since it is larger than the sum of its proper divisors (1).

83812088800369 is an equidigital number, since it uses as much as digits as its factorization.

83812088800369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31850496, while the sum is 64.

The spelling of 83812088800369 in words is "eighty-three trillion, eight hundred twelve billion, eighty-eight million, eight hundred thousand, three hundred sixty-nine".