22141145505408 has 128 divisors (see below), whose sum is σ = 60406913639040. Its totient is φ = 7180321075200.

The previous prime is 22141145505377. The next prime is 22141145505419. The reversal of 22141145505408 is 80450554114122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 22141145505408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193043598 + ... + 193158258.

It is an arithmetic number, because the mean of its divisors is an integer number (471929012805).

Almost surely, 2^{22141145505408} 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 22141145505408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30203456819520).

22141145505408 is an abundant number, since it is smaller than the sum of its proper divisors (38265768133632).

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

22141145505408 is a wasteful number, since it uses less digits than its factorization.

22141145505408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128306 (or 128294 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 42.

The spelling of 22141145505408 in words is "twenty-two trillion, one hundred forty-one billion, one hundred forty-five million, five hundred five thousand, four hundred eight".