221313860352 has 216 divisors, whose sum is σ = 687749790000. Its totient is φ = 68040843264.

The previous prime is 221313860351. The next prime is 221313860357. The reversal of 221313860352 is 253068313122.

221313860352 is a `hidden beast` number, since 2 + 2 + 13 + 1 + 38 + 603 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (221313860351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50886274 + ... + 50890622.

Almost surely, 2^221313860352 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 221313860352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343874895000).

221313860352 is an abundant number, since it is smaller than the sum of its proper divisors (466435929648).

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

221313860352 is a wasteful number, since it uses less digits than its factorization.

221313860352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6083 (or 6066 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 221313860352 in words is "two hundred twenty-one billion, three hundred thirteen million, eight hundred sixty thousand, three hundred fifty-two".