224705163646152 has 240 divisors, whose sum is σ = 732987302319360. Its totient is φ = 64127074140864.

The previous prime is 224705163646109. The next prime is 224705163646169. The reversal of 224705163646152 is 251646361507422.

It is a happy number.

224705163646152 is a `hidden beast` number, since 2 + 2 + 4 + 7 + 0 + 5 + 16 + 3 + 6 + 4 + 615 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23301813 + ... + 31502139.

It is an arithmetic number, because the mean of its divisors is an integer number (3054113759664).

Almost surely, 2^{224705163646152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224705163646152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366493651159680).

224705163646152 is an abundant number, since it is smaller than the sum of its proper divisors (508282138673208).

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

224705163646152 is a wasteful number, since it uses less digits than its factorization.

224705163646152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8201222 (or 8201202 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 224705163646152 in words is "two hundred twenty-four trillion, seven hundred five billion, one hundred sixty-three million, six hundred forty-six thousand, one hundred fifty-two".