8890217630112 has 288 divisors, whose sum is σ = 28974241562112. Its totient is φ = 2337026245632.

The previous prime is 8890217630101. The next prime is 8890217630117. The reversal of 8890217630112 is 2110367120988.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (8890217630117) 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, 34737883 + ... + 34992869.

It is an arithmetic number, because the mean of its divisors is an integer number (100605005424).

Almost surely, 2^{8890217630112} 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 8890217630112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14487120781056).

8890217630112 is an abundant number, since it is smaller than the sum of its proper divisors (20084023932000).

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

8890217630112 is a wasteful number, since it uses less digits than its factorization.

8890217630112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255340 (or 255319 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 8890217630112 in words is "eight trillion, eight hundred ninety billion, two hundred seventeen million, six hundred thirty thousand, one hundred twelve".