82154448756 has 36 divisors (see below), whose sum is σ = 211187995200. Its totient is φ = 26920666128.

The previous prime is 82154448709. The next prime is 82154448791. The reversal of 82154448756 is 65784445128.

82154448756 is a `hidden beast` number, since 8 + 2 + 1 + 544 + 48 + 7 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19337436 + ... + 19341683.

It is an arithmetic number, because the mean of its divisors is an integer number (5866333200).

Almost surely, 2^82154448756 is an apocalyptic number.

It is an amenable number.

82154448756 is an abundant number, since it is smaller than the sum of its proper divisors (129033546444).

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

82154448756 is a wasteful number, since it uses less digits than its factorization.

82154448756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38679188 (or 38679183 counting only the distinct ones).

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

The spelling of 82154448756 in words is "eighty-two billion, one hundred fifty-four million, four hundred forty-eight thousand, seven hundred fifty-six".