224240564020572 has 384 divisors, whose sum is σ = 648023977036800. Its totient is φ = 66479817830400.

The previous prime is 224240564020513. The next prime is 224240564020573. The reversal of 224240564020572 is 275020465042422.

It is a happy number.

224240564020572 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 4 + 0 + 56 + 4 + 0 + 20 + 572 = 666.

224240564020572 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224240564020573) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39086726088 + ... + 39086731824.

It is an arithmetic number, because the mean of its divisors is an integer number (1687562440200).

Almost surely, 2^{224240564020572} is an apocalyptic number.

224240564020572 is a gapful number since it is divisible by the number (22) 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 224240564020572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324011988518400).

224240564020572 is an abundant number, since it is smaller than the sum of its proper divisors (423783413016228).

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

224240564020572 is a wasteful number, since it uses less digits than its factorization.

224240564020572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7474 (or 7466 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

It can be divided in two parts, 22424056 and 4020572, that added together give a triangular number (26444628 = T₇₂₇₂).

The spelling of 224240564020572 in words is "two hundred twenty-four trillion, two hundred forty billion, five hundred sixty-four million, twenty thousand, five hundred seventy-two".