4637385664681 has 27 divisors (see below), whose sum is σ = 5929714593117. Its totient is φ = 3613418063640.

The previous prime is 4637385664669. The next prime is 4637385664693. The reversal of 4637385664681 is 1864665837364.

It is a happy number.

The square root of 4637385664681 is 2153459.

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

It is an interprime number because it is at equal distance from previous prime (4637385664669) and next prime (4637385664693).

It is a de Polignac number, because none of the positive numbers 2^k-4637385664681 is a prime.

It is a super-4 number, since 4×4637385664681⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4637385664781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 165802360 + ... + 165830326.

Almost surely, 2^{4637385664681} is an apocalyptic number.

4637385664681 is the 2153459-th square number.

4637385664681 is the 1076730-th centered octagonal number.

It is an amenable number.

4637385664681 is a deficient number, since it is larger than the sum of its proper divisors (1292328928436).

4637385664681 is an frugal number, since it uses more digits than its factorization.

4637385664681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55970 (or 27985 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 67.

The spelling of 4637385664681 in words is "four trillion, six hundred thirty-seven billion, three hundred eighty-five million, six hundred sixty-four thousand, six hundred eighty-one".