71911566144 has 336 divisors, whose sum is σ = 229292359296. Its totient is φ = 21544427520.

The previous prime is 71911566137. The next prime is 71911566161. The reversal of 71911566144 is 44166511917.

It is a happy number.

71911566144 is a `hidden beast` number, since 7 + 19 + 1 + 15 + 6 + 614 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (181440) is a multiple of the sum of its prime divisors (1080).

It is a self number, because there is not a number n which added to its sum of digits gives 71911566144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74365149 + ... + 74366115.

It is an arithmetic number, because the mean of its divisors is an integer number (682417736).

Almost surely, 2^71911566144 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 71911566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114646179648).

71911566144 is an abundant number, since it is smaller than the sum of its proper divisors (157380793152).

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

71911566144 is a wasteful number, since it uses less digits than its factorization.

71911566144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1080 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 71911566144 in words is "seventy-one billion, nine hundred eleven million, five hundred sixty-six thousand, one hundred forty-four".