13448542016 has 112 divisors (see below), whose sum is σ = 33905464320. Its totient is φ = 5148610560.

The previous prime is 13448541913. The next prime is 13448542043. The reversal of 13448542016 is 61024584431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×13448542016² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143300 + ... + 217788.

It is an arithmetic number, because the mean of its divisors is an integer number (302727360).

Almost surely, 2^13448542016 is an apocalyptic number.

13448542016 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 13448542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16952732160).

13448542016 is an abundant number, since it is smaller than the sum of its proper divisors (20456922304).

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

13448542016 is a wasteful number, since it uses less digits than its factorization.

13448542016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74552 (or 74542 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 13448542016 in words is "thirteen billion, four hundred forty-eight million, five hundred forty-two thousand, sixteen".