82195513344 has 570 divisors, whose sum is σ = 289280595120. Its totient is φ = 23187161088.

The previous prime is 82195513343. The next prime is 82195513373. The reversal of 82195513344 is 44331559128.

82195513344 is a `hidden beast` number, since 8 + 2 + 1 + 95 + 513 + 3 + 44 = 666.

It is a super-2 number, since 2×82195513344² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82195513344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82195513343) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1040449497 + ... + 1040449575.

It is an arithmetic number, because the mean of its divisors is an integer number (507509816).

Almost surely, 2^82195513344 is an apocalyptic number.

82195513344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82195513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144640297560).

82195513344 is an abundant number, since it is smaller than the sum of its proper divisors (207085081776).

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

82195513344 is an frugal number, since it uses more digits than its factorization.

82195513344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 91 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 82195513344 in words is "eighty-two billion, one hundred ninety-five million, five hundred thirteen thousand, three hundred forty-four".