80144816256 has 320 divisors, whose sum is σ = 257212216800. Its totient is φ = 24689111040.

The previous prime is 80144816251. The next prime is 80144816273. The reversal of 80144816256 is 65261844108.

It is a happy number.

80144816256 is a `hidden beast` number, since 8 + 0 + 14 + 4 + 8 + 1 + 625 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (80144816251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8071711 + ... + 8081633.

Almost surely, 2^80144816256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80144816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128606108400).

80144816256 is an abundant number, since it is smaller than the sum of its proper divisors (177067400544).

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

80144816256 is a wasteful number, since it uses less digits than its factorization.

80144816256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10009 (or 9988 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 80144816256 in words is "eighty billion, one hundred forty-four million, eight hundred sixteen thousand, two hundred fifty-six".