90193904329 has 3 divisors (see below), whose sum is σ = 90194204653. Its totient is φ = 90193604006.

The previous prime is 90193904309. The next prime is 90193904363. The reversal of 90193904329 is 92340939109.

The square root of 90193904329 is 300323.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 92340939109 = 37 ⋅2495701057.

It is not a de Polignac number, because 90193904329 - 2¹³ = 90193896137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90193904309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 150162 + ... + 450484.

Almost surely, 2^90193904329 is an apocalyptic number.

90193904329 is the 300323-rd square number.

90193904329 is the 150162-nd centered octagonal number.

It is an amenable number.

90193904329 is a deficient number, since it is larger than the sum of its proper divisors (300324).

90193904329 is an frugal number, since it uses more digits than its factorization.

90193904329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600646 (or 300323 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 49.

Multiplying 90193904329 by its sum of digits (49), we get a square (4419501312121 = 2102261²).

The spelling of 90193904329 in words is "ninety billion, one hundred ninety-three million, nine hundred four thousand, three hundred twenty-nine".