224263066401 has 48 divisors (see below), whose sum is σ = 354868480512. Its totient is φ = 135346905600.

The previous prime is 224263066387. The next prime is 224263066439. The reversal of 224263066401 is 104660362422.

224263066401 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 6 + 3 + 0 + 6 + 640 + 1 = 666.

224263066401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 224263066401 - 2⁶ = 224263066337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224263066801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52877641 + ... + 52881881.

It is an arithmetic number, because the mean of its divisors is an integer number (7393093344).

Almost surely, 2^224263066401 is an apocalyptic number.

It is an amenable number.

224263066401 is a deficient number, since it is larger than the sum of its proper divisors (130605414111).

224263066401 is a wasteful number, since it uses less digits than its factorization.

224263066401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 224263066401 in words is "two hundred twenty-four billion, two hundred sixty-three million, sixty-six thousand, four hundred one".