22212618480 has 480 divisors, whose sum is σ = 85209546240. Its totient is φ = 5145845760.

The previous prime is 22212618457. The next prime is 22212618497. The reversal of 22212618480 is 8481621222.

22212618480 is a `hidden beast` number, since 2 + 22 + 12 + 618 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10734886 + ... + 10736954.

It is an arithmetic number, because the mean of its divisors is an integer number (177519888).

Almost surely, 2^22212618480 is an apocalyptic number.

22212618480 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 22212618480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42604773120).

22212618480 is an abundant number, since it is smaller than the sum of its proper divisors (62996927760).

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

22212618480 is a wasteful number, since it uses less digits than its factorization.

22212618480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 22212618480 in words is "twenty-two billion, two hundred twelve million, six hundred eighteen thousand, four hundred eighty".