6985507146121 has 15 divisors (see below), whose sum is σ = 8149424520461. Its totient is φ = 5987466547356.

The previous prime is 6985507146077. The next prime is 6985507146199. The reversal of 6985507146121 is 1216417055896.

The square root of 6985507146121 is 2643011.

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

It is not a de Polignac number, because 6985507146121 - 2²⁵ = 6985473591689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6985507146221) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 129480570 + ... + 129534508.

Almost surely, 2^{6985507146121} is an apocalyptic number.

6985507146121 is the 2643011-st square number.

6985507146121 is the 1321506-th centered octagonal number.

It is an amenable number.

6985507146121 is a deficient number, since it is larger than the sum of its proper divisors (1163917374340).

6985507146121 is an frugal number, since it uses more digits than its factorization.

6985507146121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107906 (or 53946 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 55.

The spelling of 6985507146121 in words is "six trillion, nine hundred eighty-five billion, five hundred seven million, one hundred forty-six thousand, one hundred twenty-one".