77234456131461 has 12 divisors (see below), whose sum is σ = 112603506136992. Its totient is φ = 51008425855656.

The previous prime is 77234456131451. The next prime is 77234456131541. The reversal of 77234456131461 is 16413165443277.

77234456131461 is a `hidden beast` number, since 7 + 7 + 2 + 3 + 4 + 4 + 5 + 613 + 14 + 6 + 1 = 666.

It is not a de Polignac number, because 77234456131461 - 2¹⁵ = 77234456098693 is a prime.

It is a super-2 number, since 2×77234456131461² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77234456131398 and 77234456131407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77234456131451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40100962761 + ... + 40100964686.

It is an arithmetic number, because the mean of its divisors is an integer number (9383625511416).

Almost surely, 2^{77234456131461} is an apocalyptic number.

It is an amenable number.

77234456131461 is a deficient number, since it is larger than the sum of its proper divisors (35369050005531).

77234456131461 is a wasteful number, since it uses less digits than its factorization.

77234456131461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80201927560 (or 80201927557 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 77234456131461 in words is "seventy-seven trillion, two hundred thirty-four billion, four hundred fifty-six million, one hundred thirty-one thousand, four hundred sixty-one".