22233377788608 has 224 divisors, whose sum is σ = 67582931802624. Its totient is φ = 6319078391808.

The previous prime is 22233377788571. The next prime is 22233377788619. The reversal of 22233377788608 is 80688777333222.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 215352616 + ... + 215455832.

It is an arithmetic number, because the mean of its divisors is an integer number (301709516976).

Almost surely, 2^{22233377788608} is an apocalyptic number.

22233377788608 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 22233377788608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33791465901312).

22233377788608 is an abundant number, since it is smaller than the sum of its proper divisors (45349554014016).

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

22233377788608 is a wasteful number, since it uses less digits than its factorization.

22233377788608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104079 (or 104069 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 66.

The spelling of 22233377788608 in words is "twenty-two trillion, two hundred thirty-three billion, three hundred seventy-seven million, seven hundred eighty-eight thousand, six hundred eight".