221961349456 has 160 divisors (see below), whose sum is σ = 568167063552. Its totient is φ = 81325332480.

The previous prime is 221961349451. The next prime is 221961349457. The reversal of 221961349456 is 654943169122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221961349451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31140165 + ... + 31147291.

Almost surely, 2^221961349456 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 221961349456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284083531776).

221961349456 is an abundant number, since it is smaller than the sum of its proper divisors (346205714096).

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

221961349456 is a wasteful number, since it uses less digits than its factorization.

221961349456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8657 (or 8651 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 52.

The spelling of 221961349456 in words is "two hundred twenty-one billion, nine hundred sixty-one million, three hundred forty-nine thousand, four hundred fifty-six".