13506448032 has 960 divisors, whose sum is σ = 53392711680. Its totient is φ = 3247257600.

The previous prime is 13506448013. The next prime is 13506448061. The reversal of 13506448032 is 23084460531.

13506448032 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 644 + 8 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×13506448032² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 228922819 + ... + 228922877.

It is an arithmetic number, because the mean of its divisors is an integer number (55617408).

Almost surely, 2^13506448032 is an apocalyptic number.

13506448032 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 13506448032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26696355840).

13506448032 is an abundant number, since it is smaller than the sum of its proper divisors (39886263648).

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

13506448032 is a wasteful number, since it uses less digits than its factorization.

13506448032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13506448032 in words is "thirteen billion, five hundred six million, four hundred forty-eight thousand, thirty-two".