22346725968000 has 3456 divisors, whose sum is σ = 102064868605440. Its totient is φ = 4666346496000.

The previous prime is 22346725967977. The next prime is 22346725968053. The reversal of 22346725968000 is 86952764322.

22346725968000 is a `hidden beast` number, since 2 + 2 + 3 + 46 + 7 + 2 + 596 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×22346725968000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 78963695859 + ... + 78963696141.

It is an arithmetic number, because the mean of its divisors is an integer number (29532658740).

Almost surely, 2^{22346725968000} is an apocalyptic number.

22346725968000 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 22346725968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51032434302720).

22346725968000 is an abundant number, since it is smaller than the sum of its proper divisors (79718142637440).

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

22346725968000 is a wasteful number, since it uses less digits than its factorization.

22346725968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 22346725968000 in words is "twenty-two trillion, three hundred forty-six billion, seven hundred twenty-five million, nine hundred sixty-eight thousand".