221430226808448 has 640 divisors, whose sum is σ = 795485209559040. Its totient is φ = 59801085388800.

The previous prime is 221430226808407. The next prime is 221430226808473. The reversal of 221430226808448 is 844808622034122.

It is a happy number.

221430226808448 is a `hidden beast` number, since 2 + 214 + 302 + 2 + 6 + 8 + 0 + 84 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 221430226808394 and 221430226808403.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95599393 + ... + 97888223.

It is an arithmetic number, because the mean of its divisors is an integer number (1242945639936).

Almost surely, 2^{221430226808448} is an apocalyptic number.

221430226808448 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 221430226808448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397742604779520).

221430226808448 is an abundant number, since it is smaller than the sum of its proper divisors (574054982750592).

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

221430226808448 is a wasteful number, since it uses less digits than its factorization.

221430226808448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288938 (or 2288917 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 221430226808448 in words is "two hundred twenty-one trillion, four hundred thirty billion, two hundred twenty-six million, eight hundred eight thousand, four hundred forty-eight".