13745344032 has 384 divisors, whose sum is σ = 46975057920. Its totient is φ = 3829524480.

The previous prime is 13745344031. The next prime is 13745344037. The reversal of 13745344032 is 23044354731.

13745344032 is a `hidden beast` number, since 13 + 74 + 534 + 40 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13745344031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71965057 + ... + 71965247.

It is an arithmetic number, because the mean of its divisors is an integer number (122330880).

Almost surely, 2^13745344032 is an apocalyptic number.

13745344032 is a gapful number since it is divisible by the number (12) 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 13745344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23487528960).

13745344032 is an abundant number, since it is smaller than the sum of its proper divisors (33229713888).

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

13745344032 is a wasteful number, since it uses less digits than its factorization.

13745344032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 13745344032 its reverse (23044354731), we get a palindrome (36789698763).

The spelling of 13745344032 in words is "thirteen billion, seven hundred forty-five million, three hundred forty-four thousand, thirty-two".