13338049536 has 528 divisors, whose sum is σ = 46351678464. Its totient is φ = 3615326208.

The previous prime is 13338049519. The next prime is 13338049537. The reversal of 13338049536 is 63594083331.

13338049536 is a `hidden beast` number, since 1 + 3 + 33 + 80 + 4 + 9 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13338049491 and 13338049500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13338049537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160699351 + ... + 160699433.

Almost surely, 2^13338049536 is an apocalyptic number.

13338049536 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 13338049536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23175839232).

13338049536 is an abundant number, since it is smaller than the sum of its proper divisors (33013628928).

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

13338049536 is a wasteful number, since it uses less digits than its factorization.

13338049536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 13338049536 in words is "thirteen billion, three hundred thirty-eight million, forty-nine thousand, five hundred thirty-six".