13443712128 has 512 divisors, whose sum is σ = 50526720000. Its totient is φ = 3488486400.

The previous prime is 13443712099. The next prime is 13443712147. The reversal of 13443712128 is 82121734431.

13443712128 is a `hidden beast` number, since 1 + 3 + 4 + 437 + 1 + 212 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13443712092 and 13443712101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13038973 + ... + 13040003.

It is an arithmetic number, because the mean of its divisors is an integer number (98685000).

Almost surely, 2^13443712128 is an apocalyptic number.

13443712128 is a gapful number since it is divisible by the number (18) 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 13443712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25263360000).

13443712128 is an abundant number, since it is smaller than the sum of its proper divisors (37083007872).

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

13443712128 is a wasteful number, since it uses less digits than its factorization.

13443712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1054 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The spelling of 13443712128 in words is "thirteen billion, four hundred forty-three million, seven hundred twelve thousand, one hundred twenty-eight".