90673856641 has 9 divisors (see below), whose sum is σ = 96326801481. Its totient is φ = 85335282432.

The previous prime is 90673856621. The next prime is 90673856717. The reversal of 90673856641 is 14665837609.

The square root of 90673856641 is 301121.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 48894496641 + 41779360000 = 221121^2 + 204400^2 .

It is not a de Polignac number, because 90673856641 - 2¹⁹ = 90673332353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90673856621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5110201 + ... + 5127913.

Almost surely, 2^90673856641 is an apocalyptic number.

90673856641 is the 301121-st square number.

90673856641 is the 150561-st centered octagonal number.

It is an amenable number.

90673856641 is a deficient number, since it is larger than the sum of its proper divisors (5652944840).

90673856641 is an frugal number, since it uses more digits than its factorization.

90673856641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35460 (or 17730 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 90673856641 in words is "ninety billion, six hundred seventy-three million, eight hundred fifty-six thousand, six hundred forty-one".