71131986432 has 720 divisors, whose sum is σ = 245318673600. Its totient is φ = 20495794176.

The previous prime is 71131986281. The next prime is 71131986433. The reversal of 71131986432 is 23468913117.

71131986432 is a `hidden beast` number, since 7 + 1 + 131 + 9 + 86 + 432 = 666.

It is not an unprimeable number, because it can be changed into a prime (71131986433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 357447069 + ... + 357447267.

It is an arithmetic number, because the mean of its divisors is an integer number (340720380).

Almost surely, 2^71131986432 is an apocalyptic number.

71131986432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71131986432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122659336800).

71131986432 is an abundant number, since it is smaller than the sum of its proper divisors (174186687168).

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

71131986432 is a wasteful number, since it uses less digits than its factorization.

71131986432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 234 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 71131986432 in words is "seventy-one billion, one hundred thirty-one million, nine hundred eighty-six thousand, four hundred thirty-two".