2971648479409 has 9 divisors (see below), whose sum is σ = 3077704362603. Its totient is φ = 2869129574472.

The previous prime is 2971648479407. The next prime is 2971648479413. The reversal of 2971648479409 is 9049748461792.

The square root of 2971648479409 is 1723847.

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

2971648479409 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1558260379809 + 1413388099600 = 1248303^2 + 1188860^2 .

It is not a de Polignac number, because 2971648479409 - 2¹ = 2971648479407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2971648479407) 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 8 ways as a sum of consecutive naturals, for example, 49961842 + ... + 50021284.

Almost surely, 2^{2971648479409} is an apocalyptic number.

2971648479409 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2971648479409 is the 1723847-th square number.

2971648479409 is the 861924-th centered octagonal number.

It is an amenable number.

2971648479409 is a deficient number, since it is larger than the sum of its proper divisors (106055883194).

2971648479409 is an frugal number, since it uses more digits than its factorization.

2971648479409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118944 (or 59472 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 70.

The spelling of 2971648479409 in words is "two trillion, nine hundred seventy-one billion, six hundred forty-eight million, four hundred seventy-nine thousand, four hundred nine".