71945138304 has 448 divisors, whose sum is σ = 233746007040. Its totient is φ = 21915629568.

The previous prime is 71945138261. The next prime is 71945138327. The reversal of 71945138304 is 40383154917.

It is a super-2 number, since 2×71945138304² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71945138304.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 154057879 + ... + 154058345.

It is an arithmetic number, because the mean of its divisors is an integer number (521754480).

Almost surely, 2^71945138304 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 71945138304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116873003520).

71945138304 is an abundant number, since it is smaller than the sum of its proper divisors (161800868736).

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

71945138304 is a wasteful number, since it uses less digits than its factorization.

71945138304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 71945138304 in words is "seventy-one billion, nine hundred forty-five million, one hundred thirty-eight thousand, three hundred four".