2224812852864 has 960 divisors, whose sum is σ = 8003495834880. Its totient is φ = 615155627520.

The previous prime is 2224812852863. The next prime is 2224812852877. The reversal of 2224812852864 is 4682582184222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2224812852864 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 81 + 285 + 286 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2224812852864.

It is not an unprimeable number, because it can be changed into a prime (2224812852863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 71768156529 + ... + 71768156559.

It is an arithmetic number, because the mean of its divisors is an integer number (8336974828).

Almost surely, 2^{2224812852864} is an apocalyptic number.

2224812852864 is a gapful number since it is divisible by the number (24) 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 2224812852864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001747917440).

2224812852864 is an abundant number, since it is smaller than the sum of its proper divisors (5778682982016).

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

2224812852864 is an frugal number, since it uses more digits than its factorization.

2224812852864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 43 counting only the distinct ones).

The product of its digits is 7864320, while the sum is 54.

The spelling of 2224812852864 in words is "two trillion, two hundred twenty-four billion, eight hundred twelve million, eight hundred fifty-two thousand, eight hundred sixty-four".