22361881663800 has 768 divisors, whose sum is σ = 92714065920000. Its totient is φ = 4839486912000.

The previous prime is 22361881663783. The next prime is 22361881663841. The reversal of 22361881663800 is 836618816322.

22361881663800 is a `hidden beast` number, since 2 + 2 + 3 + 618 + 8 + 16 + 6 + 3 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1401200221 + ... + 1401216179.

It is an arithmetic number, because the mean of its divisors is an integer number (120721440000).

Almost surely, 2^{22361881663800} is an apocalyptic number.

22361881663800 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 22361881663800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46357032960000).

22361881663800 is an abundant number, since it is smaller than the sum of its proper divisors (70352184256200).

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

22361881663800 is a wasteful number, since it uses less digits than its factorization.

22361881663800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17961 (or 17946 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 22361881663800 in words is "twenty-two trillion, three hundred sixty-one billion, eight hundred eighty-one million, six hundred sixty-three thousand, eight hundred".