90331879945216 has 528 divisors, whose sum is σ = 241566526333440. Its totient is φ = 33390193213440.

The previous prime is 90331879945057. The next prime is 90331879945217. The reversal of 90331879945216 is 61254997813309.

It is a super-2 number, since 2×90331879945216² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90331879945217) 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 47 ways as a sum of consecutive naturals, for example, 586329891 + ... + 586483933.

It is an arithmetic number, because the mean of its divisors is an integer number (457512360480).

It is a 2-persistent number, because it is pandigital, and so is 2⋅90331879945216 = 180663759890432, but 3⋅90331879945216 = 270995639835648 is not.

Almost surely, 2^{90331879945216} 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 90331879945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120783263166720).

90331879945216 is an abundant number, since it is smaller than the sum of its proper divisors (151234646388224).

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

90331879945216 is a wasteful number, since it uses less digits than its factorization.

90331879945216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154150 (or 154125 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 67.

The spelling of 90331879945216 in words is "ninety trillion, three hundred thirty-one billion, eight hundred seventy-nine million, nine hundred forty-five thousand, two hundred sixteen".