12534941712384 has 2304 divisors, whose sum is σ = 49491360921600. Its totient is φ = 2981206425600.

The previous prime is 12534941712361. The next prime is 12534941712407. The reversal of 12534941712384 is 48321714943521.

12534941712384 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 4 + 94 + 171 + 2 + 384 = 666.

It is an interprime number because it is at equal distance from previous prime (12534941712361) and next prime (12534941712407).

It is a tau number, because it is divible by the number of its divisors (2304).

Its product of digits (5806080) is a multiple of the sum of its prime factors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 12534941712384.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 205490847714 + ... + 205490847774.

It is an arithmetic number, because the mean of its divisors is an integer number (21480625400).

Almost surely, 2^{12534941712384} is an apocalyptic number.

12534941712384 is a gapful number since it is divisible by the number (14) 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 12534941712384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24745680460800).

12534941712384 is an abundant number, since it is smaller than the sum of its proper divisors (36956419209216).

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

12534941712384 is a wasteful number, since it uses less digits than its factorization.

12534941712384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 136 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 12534941712384 in words is "twelve trillion, five hundred thirty-four billion, nine hundred forty-one million, seven hundred twelve thousand, three hundred eighty-four".