22338878284800 has 5940 divisors, whose sum is σ = 111761605549440. Its totient is φ = 4383822643200.

The previous prime is 22338878284781. The next prime is 22338878284841. The reversal of 22338878284800 is 848287883322.

22338878284800 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 88 + 78 + 2 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5940).

It is a super-2 number, since 2×22338878284800² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 282770611161 + ... + 282770611239.

Almost surely, 2^{22338878284800} is an apocalyptic number.

22338878284800 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 22338878284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55880802774720).

22338878284800 is an abundant number, since it is smaller than the sum of its proper divisors (89422727264640).

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

22338878284800 is a wasteful number, since it uses less digits than its factorization.

22338878284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 22338878284800 in words is "twenty-two trillion, three hundred thirty-eight billion, eight hundred seventy-eight million, two hundred eighty-four thousand, eight hundred".