71888879370361 has 27 divisors (see below), whose sum is σ = 76937803775469. Its totient is φ = 67161317018112.

The previous prime is 71888879370313. The next prime is 71888879370383. The reversal of 71888879370361 is 16307397888817.

The square root of 71888879370361 is 8478731.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1042990370361 + 70845889000000 = 1021269^2 + 8417000^2 .

It is not a de Polignac number, because 71888879370361 - 2²⁵ = 71888845815929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71888879320361) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11759996841 + ... + 11760002953.

Almost surely, 2^{71888879370361} is an apocalyptic number.

71888879370361 is the 8478731-st square number.

71888879370361 is the 4239366-th centered octagonal number.

It is an amenable number.

71888879370361 is a deficient number, since it is larger than the sum of its proper divisors (5048924405108).

71888879370361 is an frugal number, since it uses more digits than its factorization.

71888879370361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12410 (or 6205 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 76.

The spelling of 71888879370361 in words is "seventy-one trillion, eight hundred eighty-eight billion, eight hundred seventy-nine million, three hundred seventy thousand, three hundred sixty-one".