22298005876608 has 1536 divisors, whose sum is σ = 85101296716800. Its totient is φ = 5644226396160.

The previous prime is 22298005876589. The next prime is 22298005876609. The reversal of 22298005876608 is 80667850089222.

22298005876608 is a `hidden beast` number, since 22 + 29 + 8 + 0 + 0 + 587 + 6 + 6 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22298005876609) 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 191 ways as a sum of consecutive naturals, for example, 15560366260 + ... + 15560367692.

It is an arithmetic number, because the mean of its divisors is an integer number (55404490050).

Almost surely, 2^{22298005876608} is an apocalyptic number.

22298005876608 is a gapful number since it is divisible by the number (28) 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 22298005876608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42550648358400).

22298005876608 is an abundant number, since it is smaller than the sum of its proper divisors (62803290840192).

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

22298005876608 is a wasteful number, since it uses less digits than its factorization.

22298005876608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 22298005876608 in words is "twenty-two trillion, two hundred ninety-eight billion, five million, eight hundred seventy-six thousand, six hundred eight".