224011504152 has 128 divisors (see below), whose sum is σ = 650273817600. Its totient is φ = 71382052224.

The previous prime is 224011504133. The next prime is 224011504153. The reversal of 224011504152 is 251405110422.

It is a happy number.

224011504152 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 1 + 1 + 504 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224011504153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179958 + ... + 693114.

It is an arithmetic number, because the mean of its divisors is an integer number (5080264200).

Almost surely, 2^224011504152 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 224011504152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325136908800).

224011504152 is an abundant number, since it is smaller than the sum of its proper divisors (426262313448).

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

224011504152 is a wasteful number, since it uses less digits than its factorization.

224011504152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513262 (or 513252 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 224011504152 its reverse (251405110422), we get a palindrome (475416614574).

The spelling of 224011504152 in words is "two hundred twenty-four billion, eleven million, five hundred four thousand, one hundred fifty-two".