82891261448 has 36 divisors (see below), whose sum is σ = 156774858765. Its totient is φ = 41087733568.

The previous prime is 82891261391. The next prime is 82891261457. The reversal of 82891261448 is 84416219828.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 82253092804 + 638168644 = 286798^2 + 25262^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=203582.

It is a super-2 number, since 2×82891261448² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82891261448.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111562565 + ... + 111563307.

Almost surely, 2^82891261448 is an apocalyptic number.

It is an amenable number.

82891261448 is a deficient number, since it is larger than the sum of its proper divisors (73883597317).

82891261448 is an frugal number, since it uses more digits than its factorization.

82891261448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 882 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 53.

The spelling of 82891261448 in words is "eighty-two billion, eight hundred ninety-one million, two hundred sixty-one thousand, four hundred forty-eight".