82872229344 has 48 divisors (see below), whose sum is σ = 217863010512. Its totient is φ = 27583008768.

The previous prime is 82872229343. The next prime is 82872229369. The reversal of 82872229344 is 44392227828.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×82872229344³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82872229343) 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 7 ways as a sum of consecutive naturals, for example, 576739 + ... + 705954.

It is an arithmetic number, because the mean of its divisors is an integer number (4538812719).

Almost surely, 2^82872229344 is an apocalyptic number.

It is an amenable number.

82872229344 is an abundant number, since it is smaller than the sum of its proper divisors (134990781168).

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

82872229344 is a wasteful number, since it uses less digits than its factorization.

82872229344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283379 (or 1283371 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The spelling of 82872229344 in words is "eighty-two billion, eight hundred seventy-two million, two hundred twenty-nine thousand, three hundred forty-four".