221956488000 has 2016 divisors, whose sum is σ = 967163988960. Its totient is φ = 48306585600.

The previous prime is 221956487911. The next prime is 221956488077. The reversal of 221956488000 is 884659122.

221956488000 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 564 + 8 + 80 + 0 + 0 = 666.

221956488000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 48 ways, for example, as 211761950976 + 10194537024 = 460176^2 + 100968^2 .

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5998823982 + ... + 5998824018.

Almost surely, 2^221956488000 is an apocalyptic number.

221956488000 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 221956488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483581994480).

221956488000 is an abundant number, since it is smaller than the sum of its proper divisors (745207500960).

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

221956488000 is a wasteful number, since it uses less digits than its factorization.

221956488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 221956488000 in words is "two hundred twenty-one billion, nine hundred fifty-six million, four hundred eighty-eight thousand".