22828858216632 has 192 divisors, whose sum is σ = 66873108556800. Its totient is φ = 6993815132160.

The previous prime is 22828858216621. The next prime is 22828858216639. The reversal of 22828858216632 is 23661285882822.

It is a happy number.

22828858216632 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 8 + 8 + 582 + 16 + 6 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22828858216632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22828858216639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418689532 + ... + 418744052.

It is an arithmetic number, because the mean of its divisors is an integer number (348297440400).

Almost surely, 2^{22828858216632} 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 22828858216632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33436554278400).

22828858216632 is an abundant number, since it is smaller than the sum of its proper divisors (44044250340168).

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

22828858216632 is a wasteful number, since it uses less digits than its factorization.

22828858216632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56478 (or 56471 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 63.

The spelling of 22828858216632 in words is "twenty-two trillion, eight hundred twenty-eight billion, eight hundred fifty-eight million, two hundred sixteen thousand, six hundred thirty-two".