12113239846464 has 567 divisors, whose sum is σ = 37239048153073. Its totient is φ = 3909194265600.

The previous prime is 12113239846417. The next prime is 12113239846507. The reversal of 12113239846464 is 46464893231121.

The square root of 12113239846464 is 3480408.

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

12113239846464 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 32 + 3 + 98 + 464 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 583683776064 + 11529556070400 = 763992^2 + 3395520^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12113239846464.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 92467479679 + ... + 92467479809.

Almost surely, 2^{12113239846464} is an apocalyptic number.

12113239846464 is the 3480408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12113239846464

12113239846464 is an abundant number, since it is smaller than the sum of its proper divisors (25125808306609).

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

12113239846464 is an frugal number, since it uses more digits than its factorization.

12113239846464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 177 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 12113239846464 in words is "twelve trillion, one hundred thirteen billion, two hundred thirty-nine million, eight hundred forty-six thousand, four hundred sixty-four".