16813864704 has 216 divisors, whose sum is σ = 56061319440. Its totient is φ = 4434296832.

The previous prime is 16813864703. The next prime is 16813864757. The reversal of 16813864704 is 40746831861.

16813864704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16813864703) 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 23 ways as a sum of consecutive naturals, for example, 472032 + ... + 506400.

Almost surely, 2^16813864704 is an apocalyptic number.

16813864704 is a gapful number since it is divisible by the number (14) 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 16813864704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28030659720).

16813864704 is an abundant number, since it is smaller than the sum of its proper divisors (39247454736).

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

16813864704 is a wasteful number, since it uses less digits than its factorization.

16813864704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34415 (or 34394 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 16813864704 in words is "sixteen billion, eight hundred thirteen million, eight hundred sixty-four thousand, seven hundred four".