16497105408 has 200 divisors, whose sum is σ = 56274722592. Its totient is φ = 4713375744.

The previous prime is 16497105397. The next prime is 16497105409. The reversal of 16497105408 is 80450179461.

16497105408 is a `hidden beast` number, since 1 + 6 + 4 + 97 + 10 + 540 + 8 = 666.

16497105408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16497105409) 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 19 ways as a sum of consecutive naturals, for example, 261891 + ... + 318717.

Almost surely, 2^16497105408 is an apocalyptic number.

16497105408 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 16497105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28137361296).

16497105408 is an abundant number, since it is smaller than the sum of its proper divisors (39777617184).

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

16497105408 is an frugal number, since it uses more digits than its factorization.

16497105408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56864 (or 56839 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 16497105408 in words is "sixteen billion, four hundred ninety-seven million, one hundred five thousand, four hundred eight".