221057344645200 has 720 divisors, whose sum is σ = 878397947929216. Its totient is φ = 50430806323200.

The previous prime is 221057344645127. The next prime is 221057344645219. The reversal of 221057344645200 is 2546443750122.

221057344645200 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 57 + 34 + 46 + 4 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×221057344645200² (a number of 29 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45475690770 + ... + 45475695630.

Almost surely, 2^{221057344645200} is an apocalyptic number.

221057344645200 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 221057344645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439198973964608).

221057344645200 is an abundant number, since it is smaller than the sum of its proper divisors (657340603284016).

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

221057344645200 is a wasteful number, since it uses less digits than its factorization.

221057344645200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 221057344645200 in words is "two hundred twenty-one trillion, fifty-seven billion, three hundred forty-four million, six hundred forty-five thousand, two hundred".