22648361164800 has 2688 divisors, whose sum is σ = 93704762511360. Its totient is φ = 4716704563200.

The previous prime is 22648361164763. The next prime is 22648361164811. The reversal of 22648361164800 is 846116384622.

It is a tau number, because it is divible by the number of its divisors (2688).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219887001549 + ... + 219887001651.

It is an arithmetic number, because the mean of its divisors is an integer number (34860402720).

Almost surely, 2^{22648361164800} is an apocalyptic number.

22648361164800 is a gapful number since it is divisible by the number (20) 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 22648361164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46852381255680).

22648361164800 is an abundant number, since it is smaller than the sum of its proper divisors (71056401346560).

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

22648361164800 is a wasteful number, since it uses less digits than its factorization.

22648361164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 22648361164800 in words is "twenty-two trillion, six hundred forty-eight billion, three hundred sixty-one million, one hundred sixty-four thousand, eight hundred".