77141311461 has 12 divisors (see below), whose sum is σ = 112529571180. Its totient is φ = 50918356800.

The previous prime is 77141311459. The next prime is 77141311469. The reversal of 77141311461 is 16411314177.

77141311461 is a `hidden beast` number, since 7 + 71 + 413 + 114 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49992488100 + 27148823361 = 223590^2 + 164769^2 .

It is not a de Polignac number, because 77141311461 - 2¹ = 77141311459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77141311469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42431056 + ... + 42432873.

It is an arithmetic number, because the mean of its divisors is an integer number (9377464265).

Almost surely, 2^77141311461 is an apocalyptic number.

It is an amenable number.

77141311461 is a deficient number, since it is larger than the sum of its proper divisors (35388259719).

77141311461 is a wasteful number, since it uses less digits than its factorization.

77141311461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84864036 (or 84864033 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The spelling of 77141311461 in words is "seventy-seven billion, one hundred forty-one million, three hundred eleven thousand, four hundred sixty-one".