4484572817761 has 9 divisors (see below), whose sum is σ = 4496635654329. Its totient is φ = 4472542272000.

The previous prime is 4484572817749. The next prime is 4484572817807. The reversal of 4484572817761 is 1677182754844.

The square root of 4484572817761 is 2117681.

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 323625592161 + 4160947225600 = 568881^2 + 2039840^2 .

It is not a de Polignac number, because 4484572817761 - 2¹⁹ = 4484572293473 is a prime.

It is a super-2 number, since 2×4484572817761² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4484572817693 and 4484572817702.

It is not an unprimeable number, because it can be changed into a prime (4484572817701) 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, 849187441 + ... + 849192721.

Almost surely, 2^{4484572817761} is an apocalyptic number.

4484572817761 is the 2117681-st square number.

4484572817761 is the 1058841-st centered octagonal number.

It is an amenable number.

4484572817761 is a deficient number, since it is larger than the sum of its proper divisors (12062836568).

4484572817761 is an frugal number, since it uses more digits than its factorization.

4484572817761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11364 (or 5682 counting only the distinct ones).

The product of its digits is 84295680, while the sum is 64.

Multiplying 4484572817761 by its sum of digits (64), we get a square (287012660336704 = 16941448²).

The spelling of 4484572817761 in words is "four trillion, four hundred eighty-four billion, five hundred seventy-two million, eight hundred seventeen thousand, seven hundred sixty-one".