221861613600 has 288 divisors, whose sum is σ = 875345849280. Its totient is φ = 53784576000.

The previous prime is 221861613583. The next prime is 221861613607. The reversal of 221861613600 is 6316168122.

It is a happy number.

221861613600 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 616 + 1 + 36 + 0 + 0 = 666.

221861613600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (221861613607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 229281 + ... + 704480.

It is an arithmetic number, because the mean of its divisors is an integer number (3039395310).

Almost surely, 2^221861613600 is an apocalyptic number.

221861613600 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 221861613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437672924640).

221861613600 is an abundant number, since it is smaller than the sum of its proper divisors (653484235680).

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

221861613600 is a wasteful number, since it uses less digits than its factorization.

221861613600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933801 (or 933782 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 221861613600 in words is "two hundred twenty-one billion, eight hundred sixty-one million, six hundred thirteen thousand, six hundred".