90808222176 has 288 divisors, whose sum is σ = 326225400480. Its totient is φ = 24418824192.

The previous prime is 90808222163. The next prime is 90808222213. The reversal of 90808222176 is 67122280809.

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

It is a super-2 number, since 2×90808222176² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656626 + ... + 782798.

It is an arithmetic number, because the mean of its divisors is an integer number (1132727085).

Almost surely, 2^90808222176 is an apocalyptic number.

90808222176 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90808222176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163112700240).

90808222176 is an abundant number, since it is smaller than the sum of its proper divisors (235417178304).

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

90808222176 is a wasteful number, since it uses less digits than its factorization.

90808222176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126223 (or 126202 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 90808222176 in words is "ninety billion, eight hundred eight million, two hundred twenty-two thousand, one hundred seventy-six".