12335384540160 has 704 divisors, whose sum is σ = 48633890227200. Its totient is φ = 2939690188800.

The previous prime is 12335384540153. The next prime is 12335384540161. The reversal of 12335384540160 is 6104548353321.

12335384540160 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 5 + 38 + 454 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12335384540161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89649015 + ... + 89786505.

Almost surely, 2^{12335384540160} is an apocalyptic number.

12335384540160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12335384540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24316945113600).

12335384540160 is an abundant number, since it is smaller than the sum of its proper divisors (36298505687040).

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

12335384540160 is a wasteful number, since it uses less digits than its factorization.

12335384540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137595 (or 137571 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 12335384540160 in words is "twelve trillion, three hundred thirty-five billion, three hundred eighty-four million, five hundred forty thousand, one hundred sixty".