82144908432 has 200 divisors, whose sum is σ = 244473045432. Its totient is φ = 26612582400.

The previous prime is 82144908407. The next prime is 82144908523. The reversal of 82144908432 is 23480944128.

82144908432 is a `hidden beast` number, since 82 + 1 + 4 + 490 + 84 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2160018576 + 79984889856 = 46476^2 + 282816^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14715882 + ... + 14721462.

Almost surely, 2^82144908432 is an apocalyptic number.

82144908432 is a gapful number since it is divisible by the number (82) 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 82144908432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122236522716).

82144908432 is an abundant number, since it is smaller than the sum of its proper divisors (162328137000).

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

82144908432 is a wasteful number, since it uses less digits than its factorization.

82144908432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 82144908432 in words is "eighty-two billion, one hundred forty-four million, nine hundred eight thousand, four hundred thirty-two".