4147706974464 has 135 divisors (see below), whose sum is σ = 12368586243783. Its totient is φ = 1382471235072.

The previous prime is 4147706974409. The next prime is 4147706974513. The reversal of 4147706974464 is 4644796077414.

The square root of 4147706974464 is 2036592.

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

4147706974464 is a `hidden beast` number, since 4 + 1 + 47 + 7 + 0 + 69 + 74 + 464 = 666.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 293262177 + ... + 293276319.

Almost surely, 2^{4147706974464} is an apocalyptic number.

4147706974464 is the 2036592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4147706974464

4147706974464 is an abundant number, since it is smaller than the sum of its proper divisors (8220879269319).

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

4147706974464 is an frugal number, since it uses more digits than its factorization.

4147706974464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28314 (or 14148 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 4147706974464 in words is "four trillion, one hundred forty-seven billion, seven hundred six million, nine hundred seventy-four thousand, four hundred sixty-four".