2213332545105 has 72 divisors (see below), whose sum is σ = 4464970886376. Its totient is φ = 1010005539840.

The previous prime is 2213332545103. The next prime is 2213332545107. The reversal of 2213332545105 is 5015452333122.

2213332545105 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 3 + 3 + 2 + 545 + 105 = 666.

It is an interprime number because it is at equal distance from previous prime (2213332545103) and next prime (2213332545107).

It can be written as a sum of positive squares in 4 ways, for example, as 671454052929 + 1541878492176 = 819423^2 + 1241724^2 .

It is not a de Polignac number, because 2213332545105 - 2¹ = 2213332545103 is a prime.

It is a super-2 number, since 2×2213332545105² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2213332545105.

It is not an unprimeable number, because it can be changed into a prime (2213332545103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11862994 + ... + 12048123.

It is an arithmetic number, because the mean of its divisors is an integer number (62013484533).

Almost surely, 2^{2213332545105} is an apocalyptic number.

It is an amenable number.

2213332545105 is an abundant number, since it is smaller than the sum of its proper divisors (2251638341271).

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

2213332545105 is a wasteful number, since it uses less digits than its factorization.

2213332545105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23911167 (or 23911153 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 2213332545105 its reverse (5015452333122), we get a palindrome (7228784878227).

The spelling of 2213332545105 in words is "two trillion, two hundred thirteen billion, three hundred thirty-two million, five hundred forty-five thousand, one hundred five".