71162110656 has 896 divisors, whose sum is σ = 269477662720. Its totient is φ = 18139852800.

The previous prime is 71162110651. The next prime is 71162110661. The reversal of 71162110656 is 65601126117.

It is a happy number.

71162110656 is a `hidden beast` number, since 7 + 11 + 621 + 10 + 6 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (71162110651) and next prime (71162110661).

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

It is a self number, because there is not a number n which added to its sum of digits gives 71162110656.

It is not an unprimeable number, because it can be changed into a prime (71162110651) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 471272181 + ... + 471272331.

It is an arithmetic number, because the mean of its divisors is an integer number (300756320).

Almost surely, 2^71162110656 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 71162110656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134738831360).

71162110656 is an abundant number, since it is smaller than the sum of its proper divisors (198315552064).

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

71162110656 is a wasteful number, since it uses less digits than its factorization.

71162110656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 71162110656 in words is "seventy-one billion, one hundred sixty-two million, one hundred ten thousand, six hundred fifty-six".