12534012254736 has 180 divisors, whose sum is σ = 40807900274544. Its totient is φ = 3580875849600.

The previous prime is 12534012254723. The next prime is 12534012254759. The reversal of 12534012254736 is 63745221043521.

12534012254736 is a `hidden beast` number, since 1 + 2 + 53 + 4 + 0 + 1 + 22 + 547 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12534012254691 and 12534012254700.

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 35 ways as a sum of consecutive naturals, for example, 105011251 + ... + 105130541.

Almost surely, 2^{12534012254736} is an apocalyptic number.

12534012254736 is a gapful number since it is divisible by the number (16) 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 12534012254736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20403950137272).

12534012254736 is an abundant number, since it is smaller than the sum of its proper divisors (28273888019808).

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

12534012254736 is a wasteful number, since it uses less digits than its factorization.

12534012254736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134210 (or 134194 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 12534012254736 in words is "twelve trillion, five hundred thirty-four billion, twelve million, two hundred fifty-four thousand, seven hundred thirty-six".