224542561254264 has 96 divisors (see below), whose sum is σ = 665333081187840. Its totient is φ = 67847110382400.

The previous prime is 224542561254199. The next prime is 224542561254283. The reversal of 224542561254264 is 462452165245422.

224542561254264 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 4 + 2 + 561 + 2 + 54 + 26 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 224542561254264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408245832 + ... + 408795479.

It is an arithmetic number, because the mean of its divisors is an integer number (6930552929040).

Almost surely, 2^{224542561254264} is an apocalyptic number.

224542561254264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224542561254264 is an abundant number, since it is smaller than the sum of its proper divisors (440790519933576).

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

224542561254264 is a wasteful number, since it uses less digits than its factorization.

224542561254264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817041681 (or 817041674 counting only the distinct ones).

The product of its digits is 36864000, while the sum is 54.

The spelling of 224542561254264 in words is "two hundred twenty-four trillion, five hundred forty-two billion, five hundred sixty-one million, two hundred fifty-four thousand, two hundred sixty-four".