224233769952 has 72 divisors (see below), whose sum is σ = 646646036400. Its totient is φ = 73691842560.

The previous prime is 224233769861. The next prime is 224233769953. The reversal of 224233769952 is 259967332422.

224233769952 is a `hidden beast` number, since 2 + 242 + 337 + 69 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224233769953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5462577 + ... + 5503472.

It is an arithmetic number, because the mean of its divisors is an integer number (8981194950).

Almost surely, 2^224233769952 is an apocalyptic number.

It is an amenable number.

224233769952 is an abundant number, since it is smaller than the sum of its proper divisors (422412266448).

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

224233769952 is a wasteful number, since it uses less digits than its factorization.

224233769952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10966136 (or 10966125 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 224233769952 in words is "two hundred twenty-four billion, two hundred thirty-three million, seven hundred sixty-nine thousand, nine hundred fifty-two".