16013467008 has 768 divisors, whose sum is σ = 61590896640. Its totient is φ = 3870535680.

The previous prime is 16013466991. The next prime is 16013467009. The reversal of 16013467008 is 80076431061.

16013467008 is a `hidden beast` number, since 1 + 601 + 3 + 46 + 7 + 0 + 0 + 8 = 666.

16013467008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16013467008² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16013467009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95888941 + ... + 95889107.

It is an arithmetic number, because the mean of its divisors is an integer number (80196480).

Almost surely, 2^16013467008 is an apocalyptic number.

16013467008 is a gapful number since it is divisible by the number (18) 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 16013467008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30795448320).

16013467008 is an abundant number, since it is smaller than the sum of its proper divisors (45577429632).

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

16013467008 is a wasteful number, since it uses less digits than its factorization.

16013467008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 16013467008 its reverse (80076431061), we get a palindrome (96089898069).

The spelling of 16013467008 in words is "sixteen billion, thirteen million, four hundred sixty-seven thousand, eight".