71793671284512 has 144 divisors (see below), whose sum is σ = 210064524913152. Its totient is φ = 23241864522240.

The previous prime is 71793671284507. The next prime is 71793671284523. The reversal of 71793671284512 is 21548217639717.

71793671284512 is a `hidden beast` number, since 7 + 1 + 7 + 9 + 36 + 7 + 1 + 2 + 84 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 71793671284512.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 329664 + ... + 11987327.

It is an arithmetic number, because the mean of its divisors is an integer number (1458781423008).

Almost surely, 2^{71793671284512} is an apocalyptic number.

71793671284512 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 71793671284512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105032262456576).

71793671284512 is an abundant number, since it is smaller than the sum of its proper divisors (138270853628640).

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

71793671284512 is a wasteful number, since it uses less digits than its factorization.

71793671284512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12317591 (or 12317580 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 71793671284512 in words is "seventy-one trillion, seven hundred ninety-three billion, six hundred seventy-one million, two hundred eighty-four thousand, five hundred twelve".