221279780352 has 160 divisors (see below), whose sum is σ = 598020429600. Its totient is φ = 72701411328.

The previous prime is 221279780321. The next prime is 221279780369. The reversal of 221279780352 is 253087972122.

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

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 15 ways as a sum of consecutive naturals, for example, 32979174 + ... + 32985882.

It is an arithmetic number, because the mean of its divisors is an integer number (3737627685).

Almost surely, 2^221279780352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221279780352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299010214800).

221279780352 is an abundant number, since it is smaller than the sum of its proper divisors (376740649248).

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

221279780352 is a wasteful number, since it uses less digits than its factorization.

221279780352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 7020 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 221279780352 in words is "two hundred twenty-one billion, two hundred seventy-nine million, seven hundred eighty thousand, three hundred fifty-two".