221561325144 has 192 divisors, whose sum is σ = 643923072000. Its totient is φ = 68618534400.

The previous prime is 221561325059. The next prime is 221561325157. The reversal of 221561325144 is 441523165122.

221561325144 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 6 + 132 + 514 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 221561325099 and 221561325108.

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 47 ways as a sum of consecutive naturals, for example, 16312084 + ... + 16325660.

It is an arithmetic number, because the mean of its divisors is an integer number (3353766000).

Almost surely, 2^221561325144 is an apocalyptic number.

221561325144 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 221561325144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321961536000).

221561325144 is an abundant number, since it is smaller than the sum of its proper divisors (422361746856).

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

221561325144 is a wasteful number, since it uses less digits than its factorization.

221561325144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13838 (or 13831 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 221561325144 in words is "two hundred twenty-one billion, five hundred sixty-one million, three hundred twenty-five thousand, one hundred forty-four".