4839863600961 has 45 divisors (see below), whose sum is σ = 7488712535161. Its totient is φ = 3114944906976.

The previous prime is 4839863600947. The next prime is 4839863600989. The reversal of 4839863600961 is 1690063689384.

The square root of 4839863600961 is 2199969.

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

4839863600961 is a `hidden beast` number, since 48 + 398 + 63 + 60 + 0 + 96 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 544524450561 + 4295339150400 = 737919^2 + 2072520^2 .

It is not a de Polignac number, because 4839863600961 - 2⁹ = 4839863600449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4839863601961) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 574187695 + ... + 574196123.

Almost surely, 2^{4839863600961} is an apocalyptic number.

4839863600961 is the 2199969-th square number.

4839863600961 is the 1099985-th centered octagonal number.

It is an amenable number.

4839863600961 is a deficient number, since it is larger than the sum of its proper divisors (2648848934200).

4839863600961 is an frugal number, since it uses more digits than its factorization.

4839863600961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16928 (or 8461 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 4839863600961 in words is "four trillion, eight hundred thirty-nine billion, eight hundred sixty-three million, six hundred thousand, nine hundred sixty-one".