71116284096 has 1120 divisors, whose sum is σ = 267170416128. Its totient is φ = 18393661440.

The previous prime is 71116284091. The next prime is 71116284101. The reversal of 71116284096 is 69048261117.

71116284096 is a `hidden beast` number, since 7 + 1 + 11 + 628 + 4 + 0 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (71116284091) and next prime (71116284101).

It is a super-3 number, since 3×71116284096³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (71116284091) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 733157520 + ... + 733157616.

Almost surely, 2^71116284096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71116284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133585208064).

71116284096 is an abundant number, since it is smaller than the sum of its proper divisors (196054132032).

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

71116284096 is a wasteful number, since it uses less digits than its factorization.

71116284096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 71116284096 in words is "seventy-one billion, one hundred sixteen million, two hundred eighty-four thousand, ninety-six".