22142868480 has 352 divisors, whose sum is σ = 81245921280. Its totient is φ = 5713182720.

The previous prime is 22142868479. The next prime is 22142868491. The reversal of 22142868480 is 8486824122.

22142868480 is a `hidden beast` number, since 2 + 214 + 286 + 84 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4282857 + ... + 4288023.

Almost surely, 2^22142868480 is an apocalyptic number.

22142868480 is a gapful number since it is divisible by the number (20) 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 22142868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40622960640).

22142868480 is an abundant number, since it is smaller than the sum of its proper divisors (59103052800).

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

22142868480 is a wasteful number, since it uses less digits than its factorization.

22142868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5232 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 22142868480 in words is "twenty-two billion, one hundred forty-two million, eight hundred sixty-eight thousand, four hundred eighty".