221343064803840 has 1920 divisors, whose sum is σ = 870578565120000. Its totient is φ = 47763817758720.

The previous prime is 221343064803827. The next prime is 221343064803851. The reversal of 221343064803840 is 48308460343122.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 221343064803840.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 273600821356 + ... + 273600822164.

It is an arithmetic number, because the mean of its divisors is an integer number (453426336000).

Almost surely, 2^{221343064803840} is an apocalyptic number.

221343064803840 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 221343064803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435289282560000).

221343064803840 is an abundant number, since it is smaller than the sum of its proper divisors (649235500316160).

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

221343064803840 is a wasteful number, since it uses less digits than its factorization.

221343064803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 221343064803840 in words is "two hundred twenty-one trillion, three hundred forty-three billion, sixty-four million, eight hundred three thousand, eight hundred forty".