6985147701249 has 9 divisors (see below), whose sum is σ = 10089669243459. Its totient is φ = 4656759848280.

The previous prime is 6985147701247. The next prime is 6985147701341. The reversal of 6985147701249 is 9421077415896.

The square root of 6985147701249 is 2642943.

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

6985147701249 is a `hidden beast` number, since 6 + 9 + 8 + 514 + 7 + 70 + 1 + 2 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 347619905649 + 6637527795600 = 589593^2 + 2576340^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 6985147701249 - 2¹ = 6985147701247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6985147701247) 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, 7488339 + ... + 8369319.

Almost surely, 2^{6985147701249} is an apocalyptic number.

6985147701249 is the 2642943-rd square number.

6985147701249 is the 1321472-nd centered octagonal number.

It is an amenable number.

6985147701249 is a deficient number, since it is larger than the sum of its proper divisors (3104521542210).

6985147701249 is an frugal number, since it uses more digits than its factorization.

6985147701249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761968 (or 880984 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 6985147701249 in words is "six trillion, nine hundred eighty-five billion, one hundred forty-seven million, seven hundred one thousand, two hundred forty-nine".