71301144768 has 224 divisors, whose sum is σ = 223942656000. Its totient is φ = 19591787520.

The previous prime is 71301144767. The next prime is 71301144791. The reversal of 71301144768 is 86744110317.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (71301144763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6785983 + ... + 6796481.

It is an arithmetic number, because the mean of its divisors is an integer number (999744000).

Almost surely, 2^71301144768 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 71301144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111971328000).

71301144768 is an abundant number, since it is smaller than the sum of its proper divisors (152641511232).

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

71301144768 is a wasteful number, since it uses less digits than its factorization.

71301144768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10715 (or 10705 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 71301144768 in words is "seventy-one billion, three hundred one million, one hundred forty-four thousand, seven hundred sixty-eight".