82146828849723 has 24 divisors (see below), whose sum is σ = 129445447313520. Its totient is φ = 49785203252160.

The previous prime is 82146828849667. The next prime is 82146828849727. The reversal of 82146828849723 is 32794882864128.

82146828849723 is a `hidden beast` number, since 8 + 21 + 468 + 2 + 88 + 49 + 7 + 23 = 666.

It is not a de Polignac number, because 82146828849723 - 2⁸ = 82146828849467 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82146828849727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327873 + ... + 12821901.

It is an arithmetic number, because the mean of its divisors is an integer number (5393560304730).

Almost surely, 2^{82146828849723} is an apocalyptic number.

82146828849723 is a deficient number, since it is larger than the sum of its proper divisors (47298618463797).

82146828849723 is a wasteful number, since it uses less digits than its factorization.

82146828849723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12560459 (or 12560456 counting only the distinct ones).

The product of its digits is 594542592, while the sum is 72.

The spelling of 82146828849723 in words is "eighty-two trillion, one hundred forty-six billion, eight hundred twenty-eight million, eight hundred forty-nine thousand, seven hundred twenty-three".