2846397514129 has 45 divisors (see below), whose sum is σ = 3151449360087. Its totient is φ = 2570857619616.

The previous prime is 2846397514127. The next prime is 2846397514141. The reversal of 2846397514129 is 9214157936482.

The square root of 2846397514129 is 1687127.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2347707321729 + 498690192400 = 1532223^2 + 706180^2 .

It is not a de Polignac number, because 2846397514129 - 2¹ = 2846397514127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2846397514127) 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, 19103338947 + ... + 19103339095.

Almost surely, 2^{2846397514129} is an apocalyptic number.

2846397514129 is the 1687127-th square number.

2846397514129 is the 843564-th centered octagonal number.

It is an amenable number.

2846397514129 is a deficient number, since it is larger than the sum of its proper divisors (305051845958).

2846397514129 is an frugal number, since it uses more digits than its factorization.

2846397514129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 229 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 61.

The spelling of 2846397514129 in words is "two trillion, eight hundred forty-six billion, three hundred ninety-seven million, five hundred fourteen thousand, one hundred twenty-nine".