90458320349 has 8 divisors (see below), whose sum is σ = 90701582520. Its totient is φ = 90215193600.

The previous prime is 90458320307. The next prime is 90458320391. The reversal of 90458320349 is 94302385409.

It is an interprime number because it is at equal distance from previous prime (90458320307) and next prime (90458320391).

It can be written as a sum of positive squares in 4 ways, for example, as 407313124 + 90051007225 = 20182^2 + 300085^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90458320349 - 2²⁴ = 90441543133 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90458320399) 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 7 ways as a sum of consecutive naturals, for example, 1383017 + ... + 1446945.

It is an arithmetic number, because the mean of its divisors is an integer number (11337697815).

Almost surely, 2^90458320349 is an apocalyptic number.

It is an amenable number.

90458320349 is a deficient number, since it is larger than the sum of its proper divisors (243262171).

90458320349 is a wasteful number, since it uses less digits than its factorization.

90458320349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67711.

The product of its (nonzero) digits is 933120, while the sum is 47.

The spelling of 90458320349 in words is "ninety billion, four hundred fifty-eight million, three hundred twenty thousand, three hundred forty-nine".