80141281188864 has 704 divisors, whose sum is σ = 253616312033280. Its totient is φ = 22022627328000.

The previous prime is 80141281188799. The next prime is 80141281188877. The reversal of 80141281188864 is 46888118214108.

It is a super-2 number, since 2×80141281188864² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80141281188798 and 80141281188807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27759361629 + ... + 27759364515.

Almost surely, 2^{80141281188864} is an apocalyptic number.

80141281188864 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 80141281188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126808156016640).

80141281188864 is an abundant number, since it is smaller than the sum of its proper divisors (173475030844416).

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

80141281188864 is a wasteful number, since it uses less digits than its factorization.

80141281188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 60.

The spelling of 80141281188864 in words is "eighty trillion, one hundred forty-one billion, two hundred eighty-one million, one hundred eighty-eight thousand, eight hundred sixty-four".