16416005472 has 144 divisors (see below), whose sum is σ = 49211613360. Its totient is φ = 5176452096.

The previous prime is 16416005449. The next prime is 16416005519. The reversal of 16416005472 is 27450061461.

16416005472 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 600 + 5 + 47 + 2 = 666.

16416005472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4665858 + ... + 4669374.

It is an arithmetic number, because the mean of its divisors is an integer number (341747315).

Almost surely, 2^16416005472 is an apocalyptic number.

16416005472 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 16416005472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24605806680).

16416005472 is an abundant number, since it is smaller than the sum of its proper divisors (32795607888).

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

16416005472 is a wasteful number, since it uses less digits than its factorization.

16416005472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 16416005472 in words is "sixteen billion, four hundred sixteen million, five thousand, four hundred seventy-two".