22114862445312 has 1008 divisors, whose sum is σ = 82271027700288. Its totient is φ = 5774295859200.

The previous prime is 22114862445307. The next prime is 22114862445317. The reversal of 22114862445312 is 21354426841122.

22114862445312 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 4 + 8 + 624 + 4 + 5 + 3 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (22114862445307) and next prime (22114862445317).

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (22114862445317) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1715254738 + ... + 1715267630.

It is an arithmetic number, because the mean of its divisors is an integer number (81618083036).

Almost surely, 2^{22114862445312} 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 22114862445312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41135513850144).

22114862445312 is an abundant number, since it is smaller than the sum of its proper divisors (60156165254976).

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

22114862445312 is a wasteful number, since it uses less digits than its factorization.

22114862445312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13048 (or 13019 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 22114862445312 in words is "twenty-two trillion, one hundred fourteen billion, eight hundred sixty-two million, four hundred forty-five thousand, three hundred twelve".