16348765608 has 192 divisors, whose sum is σ = 53038851840. Its totient is φ = 4448074752.

The previous prime is 16348765607. The next prime is 16348765633. The reversal of 16348765608 is 80656784361.

16348765608 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 8 + 76 + 560 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (16348765607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2697910 + ... + 2703962.

It is an arithmetic number, because the mean of its divisors is an integer number (276244020).

Almost surely, 2^16348765608 is an apocalyptic number.

16348765608 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 16348765608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26519425920).

16348765608 is an abundant number, since it is smaller than the sum of its proper divisors (36690086232).

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

16348765608 is a wasteful number, since it uses less digits than its factorization.

16348765608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6328 (or 6321 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 16348765608 in words is "sixteen billion, three hundred forty-eight million, seven hundred sixty-five thousand, six hundred eight".