80821861344 has 768 divisors, whose sum is σ = 298045440000. Its totient is φ = 20786927616.

The previous prime is 80821861339. The next prime is 80821861357. The reversal of 80821861344 is 44316812808.

80821861344 is a `hidden beast` number, since 8 + 0 + 8 + 21 + 8 + 613 + 4 + 4 = 666.

It is a super-2 number, since 2×80821861344² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 80821861344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 263263239 + ... + 263263545.

It is an arithmetic number, because the mean of its divisors is an integer number (388080000).

Almost surely, 2^80821861344 is an apocalyptic number.

80821861344 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 80821861344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149022720000).

80821861344 is an abundant number, since it is smaller than the sum of its proper divisors (217223578656).

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

80821861344 is a wasteful number, since it uses less digits than its factorization.

80821861344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 80821861344 in words is "eighty billion, eight hundred twenty-one million, eight hundred sixty-one thousand, three hundred forty-four".