21174581463345 has 24 divisors (see below), whose sum is σ = 36703297449000. Its totient is φ = 11292897935616.

The previous prime is 21174581463281. The next prime is 21174581463349. The reversal of 21174581463345 is 54336418547112.

21174581463345 is a `hidden beast` number, since 2 + 1 + 1 + 7 + 458 + 146 + 3 + 3 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1330015547169 + 19844565916176 = 1153263^2 + 4454724^2 .

It is not a de Polignac number, because 21174581463345 - 2⁶ = 21174581463281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21174581463291 and 21174581463300.

It is not an unprimeable number, because it can be changed into a prime (21174581463349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1983900 + ... + 6803309.

It is an arithmetic number, because the mean of its divisors is an integer number (1529304060375).

Almost surely, 2^{21174581463345} is an apocalyptic number.

It is an amenable number.

21174581463345 is a deficient number, since it is larger than the sum of its proper divisors (15528715985655).

21174581463345 is a wasteful number, since it uses less digits than its factorization.

21174581463345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8840769 (or 8840766 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 21174581463345 in words is "twenty-one trillion, one hundred seventy-four billion, five hundred eighty-one million, four hundred sixty-three thousand, three hundred forty-five".