12736482528 has 192 divisors, whose sum is σ = 42014343168. Its totient is φ = 3281886720.

The previous prime is 12736482457. The next prime is 12736482541. The reversal of 12736482528 is 82528463721.

It is a super-3 number, since 3×12736482528³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 932001 + ... + 945567.

It is an arithmetic number, because the mean of its divisors is an integer number (218824704).

Almost surely, 2^12736482528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12736482528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21007171584).

12736482528 is an abundant number, since it is smaller than the sum of its proper divisors (29277860640).

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

12736482528 is a wasteful number, since it uses less digits than its factorization.

12736482528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13725 (or 13717 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The spelling of 12736482528 in words is "twelve billion, seven hundred thirty-six million, four hundred eighty-two thousand, five hundred twenty-eight".