13536531456 has 264 divisors, whose sum is σ = 44188670880. Its totient is φ = 3663249408.

The previous prime is 13536531443. The next prime is 13536531457. The reversal of 13536531456 is 65413563531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13536531457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2857666 + ... + 2862398.

Almost surely, 2^13536531456 is an apocalyptic number.

13536531456 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 13536531456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22094335440).

13536531456 is an abundant number, since it is smaller than the sum of its proper divisors (30652139424).

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

13536531456 is a wasteful number, since it uses less digits than its factorization.

13536531456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789 (or 4764 counting only the distinct ones).

The product of its digits is 486000, while the sum is 42.

The spelling of 13536531456 in words is "thirteen billion, five hundred thirty-six million, five hundred thirty-one thousand, four hundred fifty-six".