71094268456848 has 3840 divisors, whose sum is σ = 288851912294400. Its totient is φ = 15801827328000.

The previous prime is 71094268456789. The next prime is 71094268456873. The reversal of 71094268456848 is 84865486249017.

71094268456848 is a `hidden beast` number, since 7 + 1 + 0 + 94 + 2 + 6 + 8 + 456 + 84 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 559797389361 + ... + 559797389487.

It is an arithmetic number, because the mean of its divisors is an integer number (75221852160).

Almost surely, 2^{71094268456848} is an apocalyptic number.

71094268456848 is a gapful number since it is divisible by the number (78) 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 71094268456848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144425956147200).

71094268456848 is an abundant number, since it is smaller than the sum of its proper divisors (217757643837552).

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

71094268456848 is a wasteful number, since it uses less digits than its factorization.

71094268456848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 71094268456848 in words is "seventy-one trillion, ninety-four billion, two hundred sixty-eight million, four hundred fifty-six thousand, eight hundred forty-eight".