224513172966880 has 72 divisors (see below), whose sum is σ = 617010309300168. Its totient is φ = 76975945014528.

The previous prime is 224513172966839. The next prime is 224513172966883. The reversal of 224513172966880 is 88669271315422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224513172966883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14318434314 + ... + 14318449993.

It is an arithmetic number, because the mean of its divisors is an integer number (8569587629169).

It is a 1-persistent number, because it is pandigital, but 2⋅224513172966880 = 449026345933760 is not.

Almost surely, 2^{224513172966880} is an apocalyptic number.

224513172966880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224513172966880 is an abundant number, since it is smaller than the sum of its proper divisors (392497136333288).

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

224513172966880 is a wasteful number, since it uses less digits than its factorization.

224513172966880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28636884336 (or 28636884321 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

The spelling of 224513172966880 in words is "two hundred twenty-four trillion, five hundred thirteen billion, one hundred seventy-two million, nine hundred sixty-six thousand, eight hundred eighty".