13035607344 has 200 divisors, whose sum is σ = 41030418528. Its totient is φ = 3978823680.

The previous prime is 13035607331. The next prime is 13035607367. The reversal of 13035607344 is 44370653031.

13035607344 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 5 + 607 + 3 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13035607299 and 13035607308.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 807189 + ... + 823179.

Almost surely, 2^13035607344 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 13035607344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20515209264).

13035607344 is an abundant number, since it is smaller than the sum of its proper divisors (27994811184).

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

13035607344 is a wasteful number, since it uses less digits than its factorization.

13035607344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16065 (or 16050 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 13035607344 in words is "thirteen billion, thirty-five million, six hundred seven thousand, three hundred forty-four".