22224391416 has 256 divisors, whose sum is σ = 64718438400. Its totient is φ = 7061136768.

The previous prime is 22224391411. The next prime is 22224391421. The reversal of 22224391416 is 61419342222.

It is a happy number.

22224391416 is a `hidden beast` number, since 2 + 2 + 224 + 391 + 41 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (22224391411) and next prime (22224391421).

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

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 (22224391411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97904695 + ... + 97904921.

It is an arithmetic number, because the mean of its divisors is an integer number (252806400).

Almost surely, 2^22224391416 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 22224391416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32359219200).

22224391416 is an abundant number, since it is smaller than the sum of its proper divisors (42494046984).

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

22224391416 is a wasteful number, since it uses less digits than its factorization.

22224391416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 485 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 22224391416 in words is "twenty-two billion, two hundred twenty-four million, three hundred ninety-one thousand, four hundred sixteen".