90824484168 has 320 divisors, whose sum is σ = 293590915200. Its totient is φ = 25961886720.

The previous prime is 90824484137. The next prime is 90824484169. The reversal of 90824484168 is 86148442809.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (90824484169) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 11964118 + ... + 11971706.

It is an arithmetic number, because the mean of its divisors is an integer number (917471610).

Almost surely, 2^90824484168 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 90824484168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146795457600).

90824484168 is an abundant number, since it is smaller than the sum of its proper divisors (202766431032).

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

90824484168 is a wasteful number, since it uses less digits than its factorization.

90824484168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7714 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 90824484168 in words is "ninety billion, eight hundred twenty-four million, four hundred eighty-four thousand, one hundred sixty-eight".