71505181116 has 36 divisors (see below), whose sum is σ = 181695556224. Its totient is φ = 23710267200.

The previous prime is 71505181093. The next prime is 71505181123. The reversal of 71505181116 is 61118150517.

71505181116 is a `hidden beast` number, since 71 + 50 + 518 + 11 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×71505181116² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5192745 + ... + 5206496.

It is an arithmetic number, because the mean of its divisors is an integer number (5047098784).

Almost surely, 2^71505181116 is an apocalyptic number.

It is an amenable number.

71505181116 is an abundant number, since it is smaller than the sum of its proper divisors (110190375108).

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

71505181116 is a wasteful number, since it uses less digits than its factorization.

71505181116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10399442 (or 10399437 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 36.

The spelling of 71505181116 in words is "seventy-one billion, five hundred five million, one hundred eighty-one thousand, one hundred sixteen".