82144857419225 has 24 divisors (see below), whose sum is σ = 107855298839160. Its totient is φ = 61847990046720.

The previous prime is 82144857419203. The next prime is 82144857419227. The reversal of 82144857419225 is 52291475844128.

It can be written as a sum of positive squares in 12 ways, for example, as 8104976261776 + 74039881157449 = 2846924^2 + 8604643^2 .

It is not a de Polignac number, because 82144857419225 - 2²⁴ = 82144840642009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82144857419227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8189309 + ... + 15210341.

It is an arithmetic number, because the mean of its divisors is an integer number (4493970784965).

Almost surely, 2^{82144857419225} is an apocalyptic number.

82144857419225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82144857419225 is a deficient number, since it is larger than the sum of its proper divisors (25710441419935).

82144857419225 is a wasteful number, since it uses less digits than its factorization.

82144857419225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7048589 (or 7048584 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 62.

The spelling of 82144857419225 in words is "eighty-two trillion, one hundred forty-four billion, eight hundred fifty-seven million, four hundred nineteen thousand, two hundred twenty-five".