224368952976 has 135 divisors (see below), whose sum is σ = 730568788131. Its totient is φ = 64094046912.

The previous prime is 224368952953. The next prime is 224368952999. The reversal of 224368952976 is 679259863422.

It is a happy number.

The square root of 224368952976 is 473676.

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

224368952976 is a `hidden beast` number, since 2 + 2 + 4 + 36 + 8 + 9 + 529 + 76 = 666.

224368952976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224368952953) and next prime (224368952999).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39785965 + ... + 39791603.

Almost surely, 2^224368952976 is an apocalyptic number.

224368952976 is the 473676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224368952976

224368952976 is an abundant number, since it is smaller than the sum of its proper divisors (506199835155).

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

224368952976 is an frugal number, since it uses more digits than its factorization.

224368952976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11306 (or 5651 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 224368952976 in words is "two hundred twenty-four billion, three hundred sixty-eight million, nine hundred fifty-two thousand, nine hundred seventy-six".