221045287680 has 648 divisors, whose sum is σ = 911452336704. Its totient is φ = 49287168000.

The previous prime is 221045287679. The next prime is 221045287699. The reversal of 221045287680 is 86782540122.

221045287680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221045287680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 23138905 + ... + 23148455.

It is an arithmetic number, because the mean of its divisors is an integer number (1406562248).

Almost surely, 2^221045287680 is an apocalyptic number.

221045287680 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 221045287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455726168352).

221045287680 is an abundant number, since it is smaller than the sum of its proper divisors (690407049024).

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

221045287680 is a wasteful number, since it uses less digits than its factorization.

221045287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9633 (or 9609 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 221045287680 in words is "two hundred twenty-one billion, forty-five million, two hundred eighty-seven thousand, six hundred eighty".