4312761804961 has 27 divisors (see below), whose sum is σ = 4715314331481. Its totient is φ = 3943838904768.

The previous prime is 4312761804889. The next prime is 4312761804991. The reversal of 4312761804961 is 1694081672134.

The square root of 4312761804961 is 2076719.

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 602438316561 + 3710323488400 = 776169^2 + 1926220^2 .

It is not a de Polignac number, because 4312761804961 - 2¹¹ = 4312761802913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4312761804899 and 4312761804908.

It is not an unprimeable number, because it can be changed into a prime (4312761804991) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1144270285 + ... + 1144274053.

Almost surely, 2^{4312761804961} is an apocalyptic number.

4312761804961 is the 2076719-th square number.

4312761804961 is the 1038360-th centered octagonal number.

It is an amenable number.

4312761804961 is a deficient number, since it is larger than the sum of its proper divisors (402552526520).

4312761804961 is an frugal number, since it uses more digits than its factorization.

4312761804961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7634 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 4312761804961 in words is "four trillion, three hundred twelve billion, seven hundred sixty-one million, eight hundred four thousand, nine hundred sixty-one".