13545508032 has 336 divisors, whose sum is σ = 46083028992. Its totient is φ = 3722526720.

The previous prime is 13545507973. The next prime is 13545508037. The reversal of 13545508032 is 23080554531.

13545508032 is a `hidden beast` number, since 1 + 3 + 545 + 5 + 0 + 80 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (13545508037) 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, 38372368 + ... + 38372720.

It is an arithmetic number, because the mean of its divisors is an integer number (137151872).

Almost surely, 2^13545508032 is an apocalyptic number.

13545508032 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 13545508032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23041514496).

13545508032 is an abundant number, since it is smaller than the sum of its proper divisors (32537520960).

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

13545508032 is a wasteful number, since it uses less digits than its factorization.

13545508032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 13545508032 in words is "thirteen billion, five hundred forty-five million, five hundred eight thousand, thirty-two".