2213320422456 has 384 divisors, whose sum is σ = 7494608721600. Its totient is φ = 579725475840.

The previous prime is 2213320422403. The next prime is 2213320422461. The reversal of 2213320422456 is 6542240233122.

2213320422456 is a `hidden beast` number, since 221 + 3 + 3 + 2 + 0 + 422 + 4 + 5 + 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 2213320422456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34449210 + ... + 34513398.

Almost surely, 2^{2213320422456} is an apocalyptic number.

2213320422456 is a gapful number since it is divisible by the number (26) 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 2213320422456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747304360800).

2213320422456 is an abundant number, since it is smaller than the sum of its proper divisors (5281288299144).

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

2213320422456 is a wasteful number, since it uses less digits than its factorization.

2213320422456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64439 (or 64432 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 2213320422456 its reverse (6542240233122), we get a palindrome (8755560655578).

The spelling of 2213320422456 in words is "two trillion, two hundred thirteen billion, three hundred twenty million, four hundred twenty-two thousand, four hundred fifty-six".