71045676928512 has 1440 divisors, whose sum is σ = 250896174617088. Its totient is φ = 19078778880000.

The previous prime is 71045676928487. The next prime is 71045676928531. The reversal of 71045676928512 is 21582967654017.

It is a happy number.

71045676928512 is a `hidden beast` number, since 7 + 1 + 0 + 4 + 56 + 7 + 69 + 2 + 8 + 512 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 71045676928512.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 95620022413 + ... + 95620023155.

Almost surely, 2^{71045676928512} is an apocalyptic number.

71045676928512 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 71045676928512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125448087308544).

71045676928512 is an abundant number, since it is smaller than the sum of its proper divisors (179850497688576).

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

71045676928512 is a wasteful number, since it uses less digits than its factorization.

71045676928512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 71045676928512 in words is "seventy-one trillion, forty-five billion, six hundred seventy-six million, nine hundred twenty-eight thousand, five hundred twelve".