80258323401 has 9 divisors (see below), whose sum is σ = 115929916999. Its totient is φ = 53504982336.

The previous prime is 80258323361. The next prime is 80258323447. The reversal of 80258323401 is 10432385208.

The square root of 80258323401 is 283299.

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

80258323401 is a `hidden beast` number, since 80 + 258 + 323 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25793966025 + 54464357376 = 160605^2 + 233376^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 80258323401 - 2¹³ = 80258315209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80258322401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 802681 + ... + 897113.

Almost surely, 2^80258323401 is an apocalyptic number.

80258323401 is the 283299-th square number.

80258323401 is the 141650-th centered octagonal number.

It is an amenable number.

80258323401 is a deficient number, since it is larger than the sum of its proper divisors (35671593598).

80258323401 is an frugal number, since it uses more digits than its factorization.

80258323401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188872 (or 94436 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 80258323401 by its sum of digits (36), we get a square (2889299642436 = 1699794²).

The spelling of 80258323401 in words is "eighty billion, two hundred fifty-eight million, three hundred twenty-three thousand, four hundred one".