13342585536 has 504 divisors, whose sum is σ = 47429928000. Its totient is φ = 3565513728.

The previous prime is 13342585519. The next prime is 13342585537. The reversal of 13342585536 is 63558524331.

13342585536 is a `hidden beast` number, since 1 + 3 + 3 + 42 + 58 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 13342585491 and 13342585500.

It is not an unprimeable number, because it can be changed into a prime (13342585537) 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, 74539495 + ... + 74539673.

It is an arithmetic number, because the mean of its divisors is an integer number (94107000).

Almost surely, 2^13342585536 is an apocalyptic number.

13342585536 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 13342585536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23714964000).

13342585536 is an abundant number, since it is smaller than the sum of its proper divisors (34087342464).

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

13342585536 is a wasteful number, since it uses less digits than its factorization.

13342585536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 349 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 13342585536 in words is "thirteen billion, three hundred forty-two million, five hundred eighty-five thousand, five hundred thirty-six".