12445683288336 has 135 divisors (see below), whose sum is σ = 36762678116229. Its totient is φ = 3929961770496.

The previous prime is 12445683288293. The next prime is 12445683288341. The reversal of 12445683288336 is 63388238654421.

The square root of 12445683288336 is 3527844.

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

12445683288336 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 568 + 32 + 8 + 8 + 3 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5266198832400 + 7179484455936 = 2294820^2 + 2679456^2 .

It is a super-2 number, since 2×12445683288336² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 804340696 + ... + 804356168.

Almost surely, 2^{12445683288336} is an apocalyptic number.

12445683288336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12445683288336 is the 3527844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12445683288336

12445683288336 is an abundant number, since it is smaller than the sum of its proper divisors (24316994827893).

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

12445683288336 is an frugal number, since it uses more digits than its factorization.

12445683288336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30998 (or 15497 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 63.

The spelling of 12445683288336 in words is "twelve trillion, four hundred forty-five billion, six hundred eighty-three million, two hundred eighty-eight thousand, three hundred thirty-six".