6683460687121 has 9 divisors (see below), whose sum is σ = 6714144915579. Its totient is φ = 6652916088336.

The previous prime is 6683460687109. The next prime is 6683460687139. The reversal of 6683460687121 is 1217860643866.

The square root of 6683460687121 is 2585239.

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

It can be written as a sum of positive squares in only one way, i.e., 6355516630225 + 327944056896 = 2521015^2 + 572664^2 .

It is not a de Polignac number, because 6683460687121 - 2⁷ = 6683460686993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6683460687221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 576502501 + ... + 576514093.

It is an arithmetic number, because the mean of its divisors is an integer number (746016101731).

Almost surely, 2^{6683460687121} is an apocalyptic number.

6683460687121 is the 2585239-th square number.

6683460687121 is the 1292620-th centered octagonal number.

It is an amenable number.

6683460687121 is a deficient number, since it is larger than the sum of its proper divisors (30684228458).

6683460687121 is an frugal number, since it uses more digits than its factorization.

6683460687121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23632 (or 11816 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 6683460687121 in words is "six trillion, six hundred eighty-three billion, four hundred sixty million, six hundred eighty-seven thousand, one hundred twenty-one".