6068147416321 has 9 divisors (see below), whose sum is σ = 6090818071401. Its totient is φ = 6045560859312.

The previous prime is 6068147416307. The next prime is 6068147416327. The reversal of 6068147416321 is 1236147418606.

The square root of 6068147416321 is 2463361.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2913545161921 + 3154602254400 = 1706911^2 + 1776120^2 .

It is not a de Polignac number, because 6068147416321 - 2¹⁹ = 6068146892033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6068147416327) 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, 682346551 + ... + 682355443.

It is an arithmetic number, because the mean of its divisors is an integer number (676757563489).

Almost surely, 2^{6068147416321} is an apocalyptic number.

6068147416321 is the 2463361-st square number.

6068147416321 is the 1231681-st centered octagonal number.

It is an amenable number.

6068147416321 is a deficient number, since it is larger than the sum of its proper divisors (22670655080).

6068147416321 is an frugal number, since it uses more digits than its factorization.

6068147416321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18340 (or 9170 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 6068147416321 by its sum of digits (49), we get a square (297339223399729 = 17243527²).

The spelling of 6068147416321 in words is "six trillion, sixty-eight billion, one hundred forty-seven million, four hundred sixteen thousand, three hundred twenty-one".