12532129249536 has 648 divisors, whose sum is σ = 41885612810496. Its totient is φ = 3731554344960.

The previous prime is 12532129249531. The next prime is 12532129249579. The reversal of 12532129249536 is 63594292123521.

12532129249536 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 2 + 12 + 92 + 4 + 9 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is not an unprimeable number, because it can be changed into a prime (12532129249531) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 325888486 + ... + 325926938.

Almost surely, 2^{12532129249536} is an apocalyptic number.

12532129249536 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 12532129249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20942806405248).

12532129249536 is an abundant number, since it is smaller than the sum of its proper divisors (29353483560960).

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

12532129249536 is an equidigital number, since it uses as much as digits as its factorization.

12532129249536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38541 (or 38502 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 12532129249536 in words is "twelve trillion, five hundred thirty-two billion, one hundred twenty-nine million, two hundred forty-nine thousand, five hundred thirty-six".