22628404850688 has 1872 divisors, whose sum is σ = 88113813598720. Its totient is φ = 5642219814912.

The previous prime is 22628404850687. The next prime is 22628404850713. The reversal of 22628404850688 is 88605840482622.

It is a happy number.

22628404850688 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 8 + 4 + 0 + 48 + 506 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

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 (22628404850687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46464896781 + ... + 46464897267.

Almost surely, 2^{22628404850688} is an apocalyptic number.

22628404850688 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 22628404850688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44056906799360).

22628404850688 is an abundant number, since it is smaller than the sum of its proper divisors (65485408748032).

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

22628404850688 is an frugal number, since it uses more digits than its factorization.

22628404850688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 63.

The spelling of 22628404850688 in words is "twenty-two trillion, six hundred twenty-eight billion, four hundred four million, eight hundred fifty thousand, six hundred eighty-eight".