22122628037748 has 720 divisors, whose sum is σ = 75058833507840. Its totient is φ = 5453825126400.

The previous prime is 22122628037737. The next prime is 22122628037753. The reversal of 22122628037748 is 84773082622122.

22122628037748 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 628 + 0 + 3 + 7 + 7 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22122628037694 and 22122628037703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 865470888 + ... + 865496448.

It is an arithmetic number, because the mean of its divisors is an integer number (104248379872).

Almost surely, 2^{22122628037748} is an apocalyptic number.

22122628037748 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 22122628037748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37529416753920).

22122628037748 is an abundant number, since it is smaller than the sum of its proper divisors (52936205470092).

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

22122628037748 is a wasteful number, since it uses less digits than its factorization.

22122628037748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25666 (or 25640 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 22122628037748 in words is "twenty-two trillion, one hundred twenty-two billion, six hundred twenty-eight million, thirty-seven thousand, seven hundred forty-eight".