22219661812320 has 288 divisors, whose sum is σ = 86978835478080. Its totient is φ = 5059899002880.

The previous prime is 22219661812267. The next prime is 22219661812373. The reversal of 22219661812320 is 2321816691222.

22219661812320 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 9 + 6 + 618 + 1 + 2 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (22219661812267) and next prime (22219661812373).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1385751 + ... + 6808790.

It is an arithmetic number, because the mean of its divisors is an integer number (302009845410).

Almost surely, 2^{22219661812320} is an apocalyptic number.

22219661812320 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 22219661812320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43489417739040).

22219661812320 is an abundant number, since it is smaller than the sum of its proper divisors (64759173665760).

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

22219661812320 is a wasteful number, since it uses less digits than its factorization.

22219661812320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8194838 (or 8194827 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 22219661812320 in words is "twenty-two trillion, two hundred nineteen billion, six hundred sixty-one million, eight hundred twelve thousand, three hundred twenty".