4667937412681 has 9 divisors (see below), whose sum is σ = 4797589786101. Its totient is φ = 4541699162592.

The previous prime is 4667937412657. The next prime is 4667937412703. The reversal of 4667937412681 is 1862147397664.

The square root of 4667937412681 is 2160541.

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 137425162681 + 4530512250000 = 370709^2 + 2128500^2 .

It is not a de Polignac number, because 4667937412681 - 2²¹ = 4667935315529 is a prime.

It is a super-2 number, since 2×4667937412681² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4667937415681) 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, 79910821 + ... + 79969213.

It is an arithmetic number, because the mean of its divisors is an integer number (533065531789).

Almost surely, 2^{4667937412681} is an apocalyptic number.

4667937412681 is the 2160541-st square number.

4667937412681 is the 1080271-st centered octagonal number.

It is an amenable number.

4667937412681 is a deficient number, since it is larger than the sum of its proper divisors (129652373420).

4667937412681 is an frugal number, since it uses more digits than its factorization.

4667937412681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116860 (or 58430 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 64.

Multiplying 4667937412681 by its sum of digits (64), we get a square (298747994411584 = 17284328²).

The spelling of 4667937412681 in words is "four trillion, six hundred sixty-seven billion, nine hundred thirty-seven million, four hundred twelve thousand, six hundred eighty-one".