224865680676 has 144 divisors (see below), whose sum is σ = 669702769344. Its totient is φ = 58186162944.

The previous prime is 224865680617. The next prime is 224865680693. The reversal of 224865680676 is 676086568422.

224865680676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 127611 + ... + 682653.

It is an arithmetic number, because the mean of its divisors is an integer number (4650713676).

Almost surely, 2^224865680676 is an apocalyptic number.

224865680676 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 224865680676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334851384672).

224865680676 is an abundant number, since it is smaller than the sum of its proper divisors (444837088668).

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

224865680676 is a wasteful number, since it uses less digits than its factorization.

224865680676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555130 (or 555121 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 224865680676 in words is "two hundred twenty-four billion, eight hundred sixty-five million, six hundred eighty thousand, six hundred seventy-six".