71116456077 has 12 divisors (see below), whose sum is σ = 103782779100. Its totient is φ = 46922197248.

The previous prime is 71116456043. The next prime is 71116456079. The reversal of 71116456077 is 77065461117.

It is a happy number.

71116456077 is a `hidden beast` number, since 7 + 1 + 1 + 16 + 4 + 560 + 77 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37514266596 + 33602189481 = 193686^2 + 183309^2 .

It is not a de Polignac number, because 71116456077 - 2³⁰ = 70042714253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71116456079) 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, 40730202 + ... + 40731947.

It is an arithmetic number, because the mean of its divisors is an integer number (8648564925).

Almost surely, 2^71116456077 is an apocalyptic number.

It is an amenable number.

71116456077 is a deficient number, since it is larger than the sum of its proper divisors (32666323023).

71116456077 is a wasteful number, since it uses less digits than its factorization.

71116456077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81462252 (or 81462249 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 71116456077 in words is "seventy-one billion, one hundred sixteen million, four hundred fifty-six thousand, seventy-seven".