71103344256 has 192 divisors, whose sum is σ = 234775195200. Its totient is φ = 20233728000.

The previous prime is 71103344239. The next prime is 71103344303. The reversal of 71103344256 is 65244330117.

71103344256 is a `hidden beast` number, since 71 + 1 + 0 + 334 + 4 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 71103344256.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2006500 + ... + 2041628.

It is an arithmetic number, because the mean of its divisors is an integer number (1222787475).

Almost surely, 2^71103344256 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 71103344256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117387597600).

71103344256 is an abundant number, since it is smaller than the sum of its proper divisors (163671850944).

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

71103344256 is a wasteful number, since it uses less digits than its factorization.

71103344256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35407 (or 35392 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 71103344256 in words is "seventy-one billion, one hundred three million, three hundred forty-four thousand, two hundred fifty-six".