22381866823680 has 3744 divisors, whose sum is σ = 104415355699200. Its totient is φ = 4382373445632.

The previous prime is 22381866823607. The next prime is 22381866823691. The reversal of 22381866823680 is 8632866818322.

22381866823680 is a `hidden beast` number, since 2 + 2 + 38 + 186 + 68 + 2 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 176235171777 + ... + 176235171903.

It is an arithmetic number, because the mean of its divisors is an integer number (27888716800).

Almost surely, 2^{22381866823680} is an apocalyptic number.

22381866823680 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 22381866823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52207677849600).

22381866823680 is an abundant number, since it is smaller than the sum of its proper divisors (82033488875520).

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

22381866823680 is a wasteful number, since it uses less digits than its factorization.

22381866823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 22381866823680 in words is "twenty-two trillion, three hundred eighty-one billion, eight hundred sixty-six million, eight hundred twenty-three thousand, six hundred eighty".