22468240512 has 128 divisors (see below), whose sum is σ = 68451955200. Its totient is φ = 7247784960.

The previous prime is 22468240511. The next prime is 22468240559. The reversal of 22468240512 is 21504286422.

22468240512 is a `hidden beast` number, since 2 + 24 + 6 + 82 + 40 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (22468240511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2278 + ... + 211994.

It is an arithmetic number, because the mean of its divisors is an integer number (534780900).

Almost surely, 2^22468240512 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 22468240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34225977600).

22468240512 is an abundant number, since it is smaller than the sum of its proper divisors (45983714688).

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

22468240512 is a wasteful number, since it uses less digits than its factorization.

22468240512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209771 (or 209753 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 22468240512 in words is "twenty-two billion, four hundred sixty-eight million, two hundred forty thousand, five hundred twelve".