221344676520 has 128 divisors (see below), whose sum is σ = 724912467840. Its totient is φ = 53621411840.

The previous prime is 221344676491. The next prime is 221344676543. The reversal of 221344676520 is 25676443122.

221344676520 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-3 number, since 3×221344676520³ (a number of 35 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1833052 + ... + 1950068.

It is an arithmetic number, because the mean of its divisors is an integer number (5663378655).

Almost surely, 2^221344676520 is an apocalyptic number.

221344676520 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 221344676520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362456233920).

221344676520 is an abundant number, since it is smaller than the sum of its proper divisors (503567791320).

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

221344676520 is a wasteful number, since it uses less digits than its factorization.

221344676520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118475 (or 118471 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 221344676520 in words is "two hundred twenty-one billion, three hundred forty-four million, six hundred seventy-six thousand, five hundred twenty".