16386910848 has 768 divisors, whose sum is σ = 64744704000. Its totient is φ = 4023613440.

The previous prime is 16386910823. The next prime is 16386910849. The reversal of 16386910848 is 84801968361.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16386910794 and 16386910803.

It is not an unprimeable number, because it can be changed into a prime (16386910849) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35392665 + ... + 35393127.

It is an arithmetic number, because the mean of its divisors is an integer number (84303000).

Almost surely, 2^16386910848 is an apocalyptic number.

16386910848 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 16386910848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32372352000).

16386910848 is an abundant number, since it is smaller than the sum of its proper divisors (48357793152).

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

16386910848 is a wasteful number, since it uses less digits than its factorization.

16386910848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 16386910848 in words is "sixteen billion, three hundred eighty-six million, nine hundred ten thousand, eight hundred forty-eight".