7046141964849 has 81 divisors (see below), whose sum is σ = 11418889176513. Its totient is φ = 4184783313984.

The previous prime is 7046141964847. The next prime is 7046141964899. The reversal of 7046141964849 is 9484691416407.

The square root of 7046141964849 is 2654457.

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

7046141964849 is a `hidden beast` number, since 7 + 0 + 4 + 6 + 141 + 9 + 6 + 484 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 903516786225 + 6142625178624 = 950535^2 + 2478432^2 .

It is not a de Polignac number, because 7046141964849 - 2¹ = 7046141964847 is a prime.

It is a super-3 number, since 3×7046141964849³ (a number of 40 digits) contains 333 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 (7046141964847) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3002189694 + ... + 3002192040.

Almost surely, 2^{7046141964849} is an apocalyptic number.

7046141964849 is the 2654457-th square number.

7046141964849 is the 1327229-th centered octagonal number.

It is an amenable number.

7046141964849 is a deficient number, since it is larger than the sum of its proper divisors (4372747211664).

7046141964849 is an equidigital number, since it uses as much as digits as its factorization.

7046141964849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 7046141964849 in words is "seven trillion, forty-six billion, one hundred forty-one million, nine hundred sixty-four thousand, eight hundred forty-nine".