221193189504 has 512 divisors, whose sum is σ = 794327040000. Its totient is φ = 59188174848.

The previous prime is 221193189493. The next prime is 221193189559. The reversal of 221193189504 is 405981391122.

221193189504 is a `hidden beast` number, since 2 + 21 + 19 + 31 + 89 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 221193189504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40905969 + ... + 40911375.

It is an arithmetic number, because the mean of its divisors is an integer number (1551420000).

Almost surely, 2^221193189504 is an apocalyptic number.

221193189504 is a gapful number since it is divisible by the number (24) 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 221193189504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397163520000).

221193189504 is an abundant number, since it is smaller than the sum of its proper divisors (573133850496).

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

221193189504 is a wasteful number, since it uses less digits than its factorization.

221193189504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5545 (or 5527 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 221193189504 in words is "two hundred twenty-one billion, one hundred ninety-three million, one hundred eighty-nine thousand, five hundred four".