16816338000 has 720 divisors, whose sum is σ = 73848273408. Its totient is φ = 3491136000.

The previous prime is 16816337983. The next prime is 16816338017. The reversal of 16816338000 is 83361861.

16816338000 is a `hidden beast` number, since 16 + 8 + 1 + 633 + 8 + 0 + 0 + 0 = 666.

16816338000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16816337983) and next prime (16816338017).

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 15245449 + ... + 15246551.

Almost surely, 2^16816338000 is an apocalyptic number.

16816338000 is a gapful number since it is divisible by the number (10) 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 16816338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36924136704).

16816338000 is an abundant number, since it is smaller than the sum of its proper divisors (57031935408).

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

16816338000 is a wasteful number, since it uses less digits than its factorization.

16816338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 16816338000 its reverse (83361861), we get a palindrome (16899699861).

The spelling of 16816338000 in words is "sixteen billion, eight hundred sixteen million, three hundred thirty-eight thousand".