224817397063744 has 63 divisors (see below), whose sum is σ = 454711096135933. Its totient is φ = 110284660957952.

The previous prime is 224817397063687. The next prime is 224817397063781. The reversal of 224817397063744 is 447360793718422.

The square root of 224817397063744 is 14993912.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 162070213262400 + 62747183801344 = 12730680^2 + 7921312^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 224817397063744.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6357401007 + ... + 6357436369.

Almost surely, 2^{224817397063744} is an apocalyptic number.

224817397063744 is the 14993912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224817397063744

224817397063744 is an abundant number, since it is smaller than the sum of its proper divisors (229893699072189).

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

224817397063744 is an frugal number, since it uses more digits than its factorization.

224817397063744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70844 (or 35418 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 67.

The spelling of 224817397063744 in words is "two hundred twenty-four trillion, eight hundred seventeen billion, three hundred ninety-seven million, sixty-three thousand, seven hundred forty-four".