22741199712 has 576 divisors, whose sum is σ = 88058880000. Its totient is φ = 5593121280.

The previous prime is 22741199707. The next prime is 22741199713. The reversal of 22741199712 is 21799114722.

It is a happy number.

22741199712 is a `hidden beast` number, since 227 + 411 + 9 + 9 + 7 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22741199713) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11375289 + ... + 11377287.

It is an arithmetic number, because the mean of its divisors is an integer number (152880000).

Almost surely, 2^22741199712 is an apocalyptic number.

22741199712 is a gapful number since it is divisible by the number (22) 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 22741199712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440000).

22741199712 is an abundant number, since it is smaller than the sum of its proper divisors (65317680288).

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

22741199712 is a wasteful number, since it uses less digits than its factorization.

22741199712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2041 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The spelling of 22741199712 in words is "twenty-two billion, seven hundred forty-one million, one hundred ninety-nine thousand, seven hundred twelve".