77834866343112 has 24 divisors (see below), whose sum is σ = 210802763012790. Its totient is φ = 25944955447680.

The previous prime is 77834866343093. The next prime is 77834866343141. The reversal of 77834866343112 is 21134366843877.

77834866343112 is a `hidden beast` number, since 7 + 7 + 8 + 3 + 486 + 6 + 34 + 3 + 112 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77834847628836 + 18714276 = 8822406^2 + 4326^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 77834866343112.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 540519905089 + ... + 540519905232.

Almost surely, 2^{77834866343112} is an apocalyptic number.

77834866343112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77834866343112 is an abundant number, since it is smaller than the sum of its proper divisors (132967896669678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77834866343112 is a wasteful number, since it uses less digits than its factorization.

77834866343112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081039810333 (or 1081039810326 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 77834866343112 in words is "seventy-seven trillion, eight hundred thirty-four billion, eight hundred sixty-six million, three hundred forty-three thousand, one hundred twelve".