90034203249 has 9 divisors (see below), whose sum is σ = 130050704953. Its totient is φ = 60022202052.

The previous prime is 90034203239. The next prime is 90034203277. The reversal of 90034203249 is 94230243009.

The square root of 90034203249 is 300057.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 90034203249 - 2⁹ = 90034202737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90034203209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 850162 + ... + 950180.

Almost surely, 2^90034203249 is an apocalyptic number.

90034203249 is the 300057-th square number.

90034203249 is the 150029-th centered octagonal number.

It is an amenable number.

90034203249 is a deficient number, since it is larger than the sum of its proper divisors (40016501704).

90034203249 is an frugal number, since it uses more digits than its factorization.

90034203249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200044 (or 100022 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Multiplying 90034203249 by its sum of digits (36), we get a square (3241231316964 = 1800342²).

The spelling of 90034203249 in words is "ninety billion, thirty-four million, two hundred three thousand, two hundred forty-nine".