13308079104576 has 147 divisors (see below), whose sum is σ = 39596561094121. Its totient is φ = 4435763710464.

The previous prime is 13308079104559. The next prime is 13308079104581. The reversal of 13308079104576 is 67540197080331.

The square root of 13308079104576 is 3648024.

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

13308079104576 is a `hidden beast` number, since 1 + 3 + 30 + 80 + 79 + 10 + 457 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 451551744576 + 12856527360000 = 671976^2 + 3585600^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 787964740 + ... + 787981628.

Almost surely, 2^{13308079104576} is an apocalyptic number.

13308079104576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13308079104576 is the 3648024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13308079104576

13308079104576 is an abundant number, since it is smaller than the sum of its proper divisors (26288481989545).

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

13308079104576 is an frugal number, since it uses more digits than its factorization.

13308079104576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33808 (or 16894 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 13308079104576 in words is "thirteen trillion, three hundred eight billion, seventy-nine million, one hundred four thousand, five hundred seventy-six".