224564132100456 has 96 divisors (see below), whose sum is σ = 610098815726400. Its totient is φ = 74620692357120.

The previous prime is 224564132100431. The next prime is 224564132100487. The reversal of 224564132100456 is 654001231465422.

It is a happy number.

224564132100456 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 64 + 1 + 32 + 100 + 456 = 666.

224564132100456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26578941 + ... + 33993651.

It is an arithmetic number, because the mean of its divisors is an integer number (6355195997150).

Almost surely, 2^{224564132100456} is an apocalyptic number.

It is an amenable number.

224564132100456 is an abundant number, since it is smaller than the sum of its proper divisors (385534683625944).

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

224564132100456 is a wasteful number, since it uses less digits than its factorization.

224564132100456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7416039 (or 7416032 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 224564132100456 its reverse (654001231465422), we get a palindrome (878565363565878).

The spelling of 224564132100456 in words is "two hundred twenty-four trillion, five hundred sixty-four billion, one hundred thirty-two million, one hundred thousand, four hundred fifty-six".