22489946265600 has 3456 divisors, whose sum is σ = 99231586272000. Its totient is φ = 4998537216000.

The previous prime is 22489946265541. The next prime is 22489946265641. The reversal of 22489946265600 is 656264998422.

22489946265600 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 9 + 9 + 4 + 62 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 725482137585 + ... + 725482137615.

It is an arithmetic number, because the mean of its divisors is an integer number (28712843250).

Almost surely, 2^{22489946265600} is an apocalyptic number.

22489946265600 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 22489946265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49615793136000).

22489946265600 is an abundant number, since it is smaller than the sum of its proper divisors (76741640006400).

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

22489946265600 is an equidigital number, since it uses as much as digits as its factorization.

22489946265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 22489946265600 in words is "twenty-two trillion, four hundred eighty-nine billion, nine hundred forty-six million, two hundred sixty-five thousand, six hundred".