221243601456 has 120 divisors (see below), whose sum is σ = 622437820160. Its totient is φ = 73359820800.

The previous prime is 221243601451. The next prime is 221243601497. The reversal of 221243601456 is 654106342122.

221243601456 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 4 + 3 + 601 + 45 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 221243601456.

It is not an unprimeable number, because it can be changed into a prime (221243601451) 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, 48505416 + ... + 48509976.

Almost surely, 2^221243601456 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 221243601456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311218910080).

221243601456 is an abundant number, since it is smaller than the sum of its proper divisors (401194218704).

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

221243601456 is a wasteful number, since it uses less digits than its factorization.

221243601456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6275 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 221243601456 its reverse (654106342122), we get a palindrome (875349943578).

The spelling of 221243601456 in words is "two hundred twenty-one billion, two hundred forty-three million, six hundred one thousand, four hundred fifty-six".