6315909415461 has 8 divisors (see below), whose sum is σ = 9356902837760. Its totient is φ = 4210606276956.

The previous prime is 6315909415451. The next prime is 6315909415477. The reversal of 6315909415461 is 1645149095136.

6315909415461 is a `hidden beast` number, since 6 + 3 + 1 + 5 + 9 + 0 + 94 + 1 + 546 + 1 = 666.

It is not a de Polignac number, because 6315909415461 - 2¹⁴ = 6315909399077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6315909415398 and 6315909415407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6315909415411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116961285445 + ... + 116961285498.

It is an arithmetic number, because the mean of its divisors is an integer number (1169612854720).

Almost surely, 2^{6315909415461} is an apocalyptic number.

It is an amenable number.

6315909415461 is a deficient number, since it is larger than the sum of its proper divisors (3040993422299).

6315909415461 is a wasteful number, since it uses less digits than its factorization.

6315909415461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233922570952 (or 233922570946 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 6315909415461 in words is "six trillion, three hundred fifteen billion, nine hundred nine million, four hundred fifteen thousand, four hundred sixty-one".