90795346129 has 2 divisors, whose sum is σ = 90795346130. Its totient is φ = 90795346128.

The previous prime is 90795346099. The next prime is 90795346157. The reversal of 90795346129 is 92164359709.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48090297025 + 42705049104 = 219295^2 + 206652^2 .

It is a cyclic number.

It is not a de Polignac number, because 90795346129 - 2⁵ = 90795346097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90795346129.

It is not a weakly prime, because it can be changed into another prime (90795146129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45397673064 + 45397673065.

It is an arithmetic number, because the mean of its divisors is an integer number (45397673065).

Almost surely, 2^90795346129 is an apocalyptic number.

It is an amenable number.

90795346129 is a deficient number, since it is larger than the sum of its proper divisors (1).

90795346129 is an equidigital number, since it uses as much as digits as its factorization.

90795346129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3674160, while the sum is 55.

The spelling of 90795346129 in words is "ninety billion, seven hundred ninety-five million, three hundred forty-six thousand, one hundred twenty-nine".