22081946110000 has 400 divisors, whose sum is σ = 64430762556160. Its totient is φ = 7159674240000.

The previous prime is 22081946109997. The next prime is 22081946110001. The reversal of 22081946110000 is 1164918022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×22081946110000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22081946110001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 759415462 + ... + 759444538.

Almost surely, 2^{22081946110000} is an apocalyptic number.

22081946110000 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 22081946110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32215381278080).

22081946110000 is an abundant number, since it is smaller than the sum of its proper divisors (42348816446160).

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

22081946110000 is a wasteful number, since it uses less digits than its factorization.

22081946110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29702 (or 29681 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 22081946110000 in words is "twenty-two trillion, eighty-one billion, nine hundred forty-six million, one hundred ten thousand".