82075374144 has 315 divisors, whose sum is σ = 255813818953. Its totient is φ = 26017694208.

The previous prime is 82075374071. The next prime is 82075374149. The reversal of 82075374144 is 44147357028.

The square root of 82075374144 is 286488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 74660097600 + 7415276544 = 273240^2 + 86112^2 .

It is a super-3 number, since 3×82075374144³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82075374144.

It is not an unprimeable number, because it can be changed into a prime (82075374149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 474424042 + ... + 474424214.

Almost surely, 2^82075374144 is an apocalyptic number.

82075374144 is the 286488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82075374144

82075374144 is an abundant number, since it is smaller than the sum of its proper divisors (173738444809).

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

82075374144 is an equidigital number, since it uses as much as digits as its factorization.

82075374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 82075374144 in words is "eighty-two billion, seventy-five million, three hundred seventy-four thousand, one hundred forty-four".