71356806144 has 792 divisors, whose sum is σ = 248180572640. Its totient is φ = 20316635136.

The previous prime is 71356806137. The next prime is 71356806151. The reversal of 71356806144 is 44160865317.

71356806144 is a `hidden beast` number, since 71 + 3 + 568 + 0 + 6 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (71356806137) and next prime (71356806151).

It is a super-2 number, since 2×71356806144² (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 71356806144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1659460587 + ... + 1659460629.

Almost surely, 2^71356806144 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 71356806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124090286320).

71356806144 is an abundant number, since it is smaller than the sum of its proper divisors (176823766496).

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

71356806144 is an equidigital number, since it uses as much as digits as its factorization.

71356806144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 71356806144 in words is "seventy-one billion, three hundred fifty-six million, eight hundred six thousand, one hundred forty-four".