221448226048 has 432 divisors, whose sum is σ = 564718936320. Its totient is φ = 86106488832.

The previous prime is 221448226037. The next prime is 221448226057. The reversal of 221448226048 is 840622844122.

It is a super-2 number, since 2×221448226048² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221448225995 and 221448226013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 593694790 + ... + 593695162.

It is an arithmetic number, because the mean of its divisors is an integer number (1307219760).

Almost surely, 2^221448226048 is an apocalyptic number.

221448226048 is a gapful number since it is divisible by the number (28) 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 221448226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282359468160).

221448226048 is an abundant number, since it is smaller than the sum of its proper divisors (343270710272).

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

221448226048 is a wasteful number, since it uses less digits than its factorization.

221448226048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 43.

The spelling of 221448226048 in words is "two hundred twenty-one billion, four hundred forty-eight million, two hundred twenty-six thousand, forty-eight".