80231275146240 has 704 divisors, whose sum is σ = 287915233536000. Its totient is φ = 21186178449408.

The previous prime is 80231275146221. The next prime is 80231275146263. The reversal of 80231275146240 is 4264157213208.

80231275146240 is a `hidden beast` number, since 8 + 0 + 2 + 3 + 1 + 2 + 7 + 5 + 14 + 624 + 0 = 666.

It is a super-2 number, since 2×80231275146240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 26540281369 + ... + 26540284391.

Almost surely, 2^{80231275146240} is an apocalyptic number.

80231275146240 is a gapful number since it is divisible by the number (80) 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 80231275146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143957616768000).

80231275146240 is an abundant number, since it is smaller than the sum of its proper divisors (207683958389760).

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

80231275146240 is a wasteful number, since it uses less digits than its factorization.

80231275146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4845 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 80231275146240 in words is "eighty trillion, two hundred thirty-one billion, two hundred seventy-five million, one hundred forty-six thousand, two hundred forty".