90822311424 has 480 divisors, whose sum is σ = 295213542624. Its totient is φ = 27709931520.

The previous prime is 90822311413. The next prime is 90822311509. The reversal of 90822311424 is 42411322809.

90822311424 is a `hidden beast` number, since 9 + 0 + 8 + 223 + 1 + 1 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 376855944 + ... + 376856184.

Almost surely, 2^90822311424 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 90822311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147606771312).

90822311424 is an abundant number, since it is smaller than the sum of its proper divisors (204391231200).

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

90822311424 is a wasteful number, since it uses less digits than its factorization.

90822311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 90822311424 in words is "ninety billion, eight hundred twenty-two million, three hundred eleven thousand, four hundred twenty-four".