224312115456 has 1215 divisors, whose sum is σ = 832212304077. Its totient is φ = 60016619520.

The previous prime is 224312115427. The next prime is 224312115463. The reversal of 224312115456 is 654511213422.

The square root of 224312115456 is 473616.

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

224312115456 is a `hidden beast` number, since 2 + 2 + 431 + 21 + 154 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33182265600 + 191129849856 = 182160^2 + 437184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 224312115456.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9752700661 + ... + 9752700683.

Almost surely, 2^224312115456 is an apocalyptic number.

224312115456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

224312115456 is the 473616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224312115456

224312115456 is an abundant number, since it is smaller than the sum of its proper divisors (607900188621).

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

224312115456 is a wasteful number, since it uses less digits than its factorization.

224312115456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 52 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Multiplying 224312115456 by its sum of digits (36), we get a square (8075236156416 = 2841696²).

224312115456 divided by its sum of digits (36) gives a square (6230892096 = 78936²).

Adding to 224312115456 its reverse (654511213422), we get a palindrome (878823328878).

The spelling of 224312115456 in words is "two hundred twenty-four billion, three hundred twelve million, one hundred fifteen thousand, four hundred fifty-six".