82114417125 has 288 divisors, whose sum is σ = 169544288160. Its totient is φ = 38158848000.

The previous prime is 82114417123. The next prime is 82114417129. The reversal of 82114417125 is 52171441128.

82114417125 is a `hidden beast` number, since 8 + 2 + 114 + 417 + 125 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 70415398881 + 11699018244 = 265359^2 + 108162^2 .

It is not a de Polignac number, because 82114417125 - 2¹ = 82114417123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82114417125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82114417123) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 292221985 + ... + 292222265.

It is an arithmetic number, because the mean of its divisors is an integer number (588695445).

Almost surely, 2^82114417125 is an apocalyptic number.

It is an amenable number.

82114417125 is an abundant number, since it is smaller than the sum of its proper divisors (87429871035).

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

82114417125 is a wasteful number, since it uses less digits than its factorization.

82114417125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 384 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The spelling of 82114417125 in words is "eighty-two billion, one hundred fourteen million, four hundred seventeen thousand, one hundred twenty-five".