77825466431343 has 48 divisors (see below), whose sum is σ = 119377407034080. Its totient is φ = 48719413066752.

The previous prime is 77825466431299. The next prime is 77825466431357. The reversal of 77825466431343 is 34313466452877.

77825466431343 is a `hidden beast` number, since 7 + 7 + 8 + 2 + 546 + 6 + 43 + 1 + 3 + 43 = 666.

It is not a de Polignac number, because 77825466431343 - 2¹⁴ = 77825466414959 is a prime.

It is a super-2 number, since 2×77825466431343² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77825466431543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12754155 + ... + 17841507.

It is an arithmetic number, because the mean of its divisors is an integer number (2487029313210).

Almost surely, 2^{77825466431343} is an apocalyptic number.

77825466431343 is a deficient number, since it is larger than the sum of its proper divisors (41551940602737).

77825466431343 is a wasteful number, since it uses less digits than its factorization.

77825466431343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088168 (or 5088165 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 63.

The spelling of 77825466431343 in words is "seventy-seven trillion, eight hundred twenty-five billion, four hundred sixty-six million, four hundred thirty-one thousand, three hundred forty-three".