90845281792 has 80 divisors (see below), whose sum is σ = 185975507520. Its totient is φ = 44312240128.

The previous prime is 90845281763. The next prime is 90845281823. The reversal of 90845281792 is 29718254809.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7622334 + ... + 7634242.

It is an arithmetic number, because the mean of its divisors is an integer number (2324693844).

Almost surely, 2^90845281792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90845281792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92987753760).

90845281792 is an abundant number, since it is smaller than the sum of its proper divisors (95130225728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90845281792 is a wasteful number, since it uses less digits than its factorization.

90845281792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12291 (or 12275 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 90845281792 in words is "ninety billion, eight hundred forty-five million, two hundred eighty-one thousand, seven hundred ninety-two".