22121740368 has 720 divisors, whose sum is σ = 81560494080. Its totient is φ = 5472230400.

The previous prime is 22121740367. The next prime is 22121740393. The reversal of 22121740368 is 86304712122.

It is a happy number.

22121740368 is a `hidden beast` number, since 221 + 2 + 1 + 74 + 0 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121740367) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 311573773 + ... + 311573843.

It is an arithmetic number, because the mean of its divisors is an integer number (113278464).

Almost surely, 2^22121740368 is an apocalyptic number.

22121740368 is a gapful number since it is divisible by the number (28) 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 22121740368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40780247040).

22121740368 is an abundant number, since it is smaller than the sum of its proper divisors (59438753712).

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

22121740368 is a wasteful number, since it uses less digits than its factorization.

22121740368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 22121740368 in words is "twenty-two billion, one hundred twenty-one million, seven hundred forty thousand, three hundred sixty-eight".