4348013165721 has 27 divisors (see below), whose sum is σ = 6337564967487. Its totient is φ = 2872556366400.

The previous prime is 4348013165689. The next prime is 4348013165731. The reversal of 4348013165721 is 1275613108434.

The square root of 4348013165721 is 2085189.

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

4348013165721 is a `hidden beast` number, since 4 + 3 + 48 + 0 + 1 + 31 + 6 + 572 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76615472025 + 4271397693696 = 276795^2 + 2066736^2 .

It is not a de Polignac number, because 4348013165721 - 2⁵ = 4348013165689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4348013165731) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 706875996 + ... + 706882146.

Almost surely, 2^{4348013165721} is an apocalyptic number.

4348013165721 is the 2085189-th square number.

4348013165721 is the 1042595-th centered octagonal number.

It is an amenable number.

4348013165721 is a deficient number, since it is larger than the sum of its proper divisors (1989551801766).

4348013165721 is an frugal number, since it uses more digits than its factorization.

4348013165721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12534 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4348013165721 in words is "four trillion, three hundred forty-eight billion, thirteen million, one hundred sixty-five thousand, seven hundred twenty-one".