6143115917961 has 243 divisors, whose sum is σ = 10629795862413. Its totient is φ = 3415614000480.

The previous prime is 6143115917903. The next prime is 6143115918019. The reversal of 6143115917961 is 1697195113416.

It is a happy number.

The square root of 6143115917961 is 2478531.

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

6143115917961 is a `hidden beast` number, since 6 + 1 + 43 + 1 + 1 + 591 + 7 + 9 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (6143115917903) and next prime (6143115918019).

It is not a de Polignac number, because 6143115917961 - 2²⁵ = 6143082363529 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6143115917898 and 6143115917907.

It is not an unprimeable number, because it can be changed into a prime (6143115919961) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 91688297250 + ... + 91688297316.

Almost surely, 2^{6143115917961} is an apocalyptic number.

6143115917961 is the 2478531-st square number.

6143115917961 is the 1239266-th centered octagonal number.

It is an amenable number.

6143115917961 is a deficient number, since it is larger than the sum of its proper divisors (4486679944452).

6143115917961 is a wasteful number, since it uses less digits than its factorization.

6143115917961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 159 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The spelling of 6143115917961 in words is "six trillion, one hundred forty-three billion, one hundred fifteen million, nine hundred seventeen thousand, nine hundred sixty-one".