6117643564461 has 96 divisors (see below), whose sum is σ = 10487863975680. Its totient is φ = 3387401856000.

The previous prime is 6117643564447. The next prime is 6117643564471. The reversal of 6117643564461 is 1644653467116.

6117643564461 is a `hidden beast` number, since 6 + 1 + 1 + 76 + 4 + 3 + 564 + 4 + 6 + 1 = 666.

It is not a de Polignac number, because 6117643564461 - 2⁵ = 6117643564429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6117643564398 and 6117643564407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6117643564471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489914760 + ... + 489927246.

It is an arithmetic number, because the mean of its divisors is an integer number (109248583080).

Almost surely, 2^{6117643564461} is an apocalyptic number.

It is an amenable number.

6117643564461 is a deficient number, since it is larger than the sum of its proper divisors (4370220411219).

6117643564461 is a wasteful number, since it uses less digits than its factorization.

6117643564461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16387 (or 16384 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 6117643564461 in words is "six trillion, one hundred seventeen billion, six hundred forty-three million, five hundred sixty-four thousand, four hundred sixty-one".