71001852269472 has 144 divisors (see below), whose sum is σ = 207375108071040. Its totient is φ = 23026903451136.

The previous prime is 71001852269461. The next prime is 71001852269521. The reversal of 71001852269472 is 27496225810017.

71001852269472 is a `hidden beast` number, since 7 + 1 + 0 + 0 + 18 + 522 + 69 + 47 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416340573 + ... + 416511075.

It is an arithmetic number, because the mean of its divisors is an integer number (1440104917160).

Almost surely, 2^{71001852269472} is an apocalyptic number.

71001852269472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71001852269472 is an abundant number, since it is smaller than the sum of its proper divisors (136373255801568).

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

71001852269472 is a wasteful number, since it uses less digits than its factorization.

71001852269472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209635 (or 209624 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 71001852269472 in words is "seventy-one trillion, one billion, eight hundred fifty-two million, two hundred sixty-nine thousand, four hundred seventy-two".