22379329780128 has 144 divisors (see below), whose sum is σ = 67054635648000. Its totient is φ = 7060417920000.

The previous prime is 22379329780123. The next prime is 22379329780139. The reversal of 22379329780128 is 82108792397322.

22379329780128 is a `hidden beast` number, since 2 + 237 + 9 + 329 + 78 + 0 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (22379329780123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3790753 + ... + 7689503.

It is an arithmetic number, because the mean of its divisors is an integer number (465657192000).

Almost surely, 2^{22379329780128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22379329780128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33527317824000).

22379329780128 is an abundant number, since it is smaller than the sum of its proper divisors (44675305867872).

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

22379329780128 is a wasteful number, since it uses less digits than its factorization.

22379329780128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899835 (or 3899824 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 22379329780128 in words is "twenty-two trillion, three hundred seventy-nine billion, three hundred twenty-nine million, seven hundred eighty thousand, one hundred twenty-eight".