80928301441 has 27 divisors (see below), whose sum is σ = 89077308201. Its totient is φ = 73491166944.

The previous prime is 80928301427. The next prime is 80928301589. The reversal of 80928301441 is 14410382908.

The square root of 80928301441 is 284479.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 37431027841 + 43497273600 = 193471^2 + 208560^2 .

It is not a de Polignac number, because 80928301441 - 2¹³ = 80928293249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 80928301394 and 80928301403.

It is not an unprimeable number, because it can be changed into a prime (80928331441) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 292159795 + ... + 292160071.

It is an arithmetic number, because the mean of its divisors is an integer number (3299159563).

Almost surely, 2^80928301441 is an apocalyptic number.

80928301441 is the 284479-th square number.

80928301441 is the 142240-th centered octagonal number.

It is an amenable number.

80928301441 is a deficient number, since it is larger than the sum of its proper divisors (8149006760).

80928301441 is an frugal number, since it uses more digits than its factorization.

80928301441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 80928301441 in words is "eighty billion, nine hundred twenty-eight million, three hundred one thousand, four hundred forty-one".