82754586441 has 80 divisors (see below), whose sum is σ = 130072338000. Its totient is φ = 52363584000.

The previous prime is 82754586419. The next prime is 82754586451. The reversal of 82754586441 is 14468545728.

82754586441 is a `hidden beast` number, since 8 + 2 + 7 + 54 + 586 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2224065600 + 80530520841 = 47160^2 + 283779^2 .

It is not a de Polignac number, because 82754586441 - 2⁹ = 82754585929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82754586451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35348931 + ... + 35351271.

It is an arithmetic number, because the mean of its divisors is an integer number (1625904225).

Almost surely, 2^82754586441 is an apocalyptic number.

82754586441 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82754586441 is a deficient number, since it is larger than the sum of its proper divisors (47317751559).

82754586441 is a wasteful number, since it uses less digits than its factorization.

82754586441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2623 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 82754586441 in words is "eighty-two billion, seven hundred fifty-four million, five hundred eighty-six thousand, four hundred forty-one".