13541834432 has 336 divisors, whose sum is σ = 36119714400. Its totient is φ = 4985487360.

The previous prime is 13541834419. The next prime is 13541834437. The reversal of 13541834432 is 23443814531.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (13541834437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29374682 + ... + 29375142.

It is an arithmetic number, because the mean of its divisors is an integer number (107499150).

Almost surely, 2^13541834432 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 13541834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18059857200).

13541834432 is an abundant number, since it is smaller than the sum of its proper divisors (22577879968).

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

13541834432 is a wasteful number, since it uses less digits than its factorization.

13541834432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 535 counting only the distinct ones).

The product of its digits is 138240, while the sum is 38.

The spelling of 13541834432 in words is "thirteen billion, five hundred forty-one million, eight hundred thirty-four thousand, four hundred thirty-two".