224858052864 has 405 divisors, whose sum is σ = 696926694387. Its totient is φ = 72107532288.

The previous prime is 224858052841. The next prime is 224858052871. The reversal of 224858052864 is 468250858422.

The square root of 224858052864 is 474192.

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

224858052864 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 58 + 0 + 528 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3401222400 + 221456830464 = 58320^2 + 470592^2 .

It is a super-2 number, since 2×224858052864² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 224858052864.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2526494932 + ... + 2526495020.

Almost surely, 2^224858052864 is an apocalyptic number.

224858052864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

224858052864 is the 474192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224858052864

224858052864 is an abundant number, since it is smaller than the sum of its proper divisors (472068641523).

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

224858052864 is an frugal number, since it uses more digits than its factorization.

224858052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 224858052864 in words is "two hundred twenty-four billion, eight hundred fifty-eight million, fifty-two thousand, eight hundred sixty-four".