90668152224 has 288 divisors, whose sum is σ = 297254490624. Its totient is φ = 26997027840.

The previous prime is 90668152213. The next prime is 90668152229. The reversal of 90668152224 is 42225186609.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×90668152224² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90668152224.

It is not an unprimeable number, because it can be changed into a prime (90668152229) 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, 3119262 + ... + 3148194.

It is an arithmetic number, because the mean of its divisors is an integer number (1032133648).

Almost surely, 2^90668152224 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 90668152224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148627245312).

90668152224 is an abundant number, since it is smaller than the sum of its proper divisors (206586338400).

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

90668152224 is a wasteful number, since it uses less digits than its factorization.

90668152224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29002 (or 28982 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 90668152224 in words is "ninety billion, six hundred sixty-eight million, one hundred fifty-two thousand, two hundred twenty-four".