90412659829 has 2 divisors, whose sum is σ = 90412659830. Its totient is φ = 90412659828.

The previous prime is 90412659823. The next prime is 90412659833. The reversal of 90412659829 is 92895621409.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78764422500 + 11648237329 = 280650^2 + 107927^2 .

It is an emirp because it is prime and its reverse (92895621409) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90412659829 - 2⁹ = 90412659317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90412659829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90412659823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45206329914 + 45206329915.

It is an arithmetic number, because the mean of its divisors is an integer number (45206329915).

Almost surely, 2^90412659829 is an apocalyptic number.

It is an amenable number.

90412659829 is a deficient number, since it is larger than the sum of its proper divisors (1).

90412659829 is an equidigital number, since it uses as much as digits as its factorization.

90412659829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 90412659829 in words is "ninety billion, four hundred twelve million, six hundred fifty-nine thousand, eight hundred twenty-nine".