221463128800 has 72 divisors (see below), whose sum is σ = 550847852856. Its totient is φ = 86913815040.

The previous prime is 221463128797. The next prime is 221463128837. The reversal of 221463128800 is 8821364122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 221463128800.

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 11 ways as a sum of consecutive naturals, for example, 2569194 + ... + 2653993.

It is an arithmetic number, because the mean of its divisors is an integer number (7650664623).

Almost surely, 2^221463128800 is an apocalyptic number.

221463128800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221463128800 is an abundant number, since it is smaller than the sum of its proper divisors (329384724056).

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

221463128800 is a wasteful number, since it uses less digits than its factorization.

221463128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223260 (or 5223247 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 221463128800 in words is "two hundred twenty-one billion, four hundred sixty-three million, one hundred twenty-eight thousand, eight hundred".