90239954976289 has 2 divisors, whose sum is σ = 90239954976290. Its totient is φ = 90239954976288.

The previous prime is 90239954976263. The next prime is 90239954976313. The reversal of 90239954976289 is 98267945993209.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55794700072225 + 34445254904064 = 7469585^2 + 5869008^2 .

It is a cyclic number.

It is not a de Polignac number, because 90239954976289 - 2¹¹ = 90239954974241 is a prime.

It is not a weakly prime, because it can be changed into another prime (90239954976989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45119977488144 + 45119977488145.

It is an arithmetic number, because the mean of its divisors is an integer number (45119977488145).

Almost surely, 2^{90239954976289} is an apocalyptic number.

It is an amenable number.

90239954976289 is a deficient number, since it is larger than the sum of its proper divisors (1).

90239954976289 is an equidigital number, since it uses as much as digits as its factorization.

90239954976289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4761711360, while the sum is 82.

The spelling of 90239954976289 in words is "ninety trillion, two hundred thirty-nine billion, nine hundred fifty-four million, nine hundred seventy-six thousand, two hundred eighty-nine".