16456580352 has 432 divisors, whose sum is σ = 53409720000. Its totient is φ = 4983939072.

The previous prime is 16456580347. The next prime is 16456580359. The reversal of 16456580352 is 25308565461.

16456580352 is a `hidden beast` number, since 1 + 6 + 4 + 565 + 80 + 3 + 5 + 2 = 666.

16456580352 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 (432).

It is a junction number, because it is equal to n+sod(n) for n = 16456580298 and 16456580307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16456580359) 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 47 ways as a sum of consecutive naturals, for example, 110446774 + ... + 110446922.

Almost surely, 2^16456580352 is an apocalyptic number.

16456580352 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 16456580352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26704860000).

16456580352 is an abundant number, since it is smaller than the sum of its proper divisors (36953139648).

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

16456580352 is a wasteful number, since it uses less digits than its factorization.

16456580352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 16456580352 in words is "sixteen billion, four hundred fifty-six million, five hundred eighty thousand, three hundred fifty-two".