22274848010688 has 336 divisors, whose sum is σ = 74842748094240. Its totient is φ = 5794207727616.

The previous prime is 22274848010677. The next prime is 22274848010747. The reversal of 22274848010688 is 88601084847222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×22274848010688³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7680748 + ... + 10175636.

It is an arithmetic number, because the mean of its divisors is an integer number (222746274090).

Almost surely, 2^{22274848010688} is an apocalyptic number.

22274848010688 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 22274848010688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37421374047120).

22274848010688 is an abundant number, since it is smaller than the sum of its proper divisors (52567900083552).

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

22274848010688 is a wasteful number, since it uses less digits than its factorization.

22274848010688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495004 (or 2494987 counting only the distinct ones).

The product of its (nonzero) digits is 22020096, while the sum is 60.

The spelling of 22274848010688 in words is "twenty-two trillion, two hundred seventy-four billion, eight hundred forty-eight million, ten thousand, six hundred eighty-eight".