80786124441 has 135 divisors (see below), whose sum is σ = 138044184655. Its totient is φ = 47272967280.

The previous prime is 80786124409. The next prime is 80786124443. The reversal of 80786124441 is 14442168708.

The square root of 80786124441 is 284229.

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

80786124441 is a `hidden beast` number, since 8 + 0 + 7 + 86 + 124 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42362284041 + 38423840400 = 205821^2 + 196020^2 .

It is not a de Polignac number, because 80786124441 - 2⁵ = 80786124409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80786124443) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2785728415 + ... + 2785728443.

Almost surely, 2^80786124441 is an apocalyptic number.

80786124441 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

80786124441 is the 284229-th square number.

80786124441 is the 142115-th centered octagonal number.

It is an amenable number.

80786124441 is a deficient number, since it is larger than the sum of its proper divisors (57258060214).

80786124441 is an frugal number, since it uses more digits than its factorization.

80786124441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 80786124441 in words is "eighty billion, seven hundred eighty-six million, one hundred twenty-four thousand, four hundred forty-one".