16813364400 has 420 divisors, whose sum is σ = 69223782192. Its totient is φ = 3842588160.

The previous prime is 16813364377. The next prime is 16813364411. The reversal of 16813364400 is 446331861.

It is a happy number.

16813364400 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 3 + 3 + 644 + 0 + 0 = 666.

16813364400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 83 ways as a sum of consecutive naturals, for example, 2037082 + ... + 2045318.

Almost surely, 2^16813364400 is an apocalyptic number.

16813364400 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 16813364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34611891096).

16813364400 is an abundant number, since it is smaller than the sum of its proper divisors (52410417792).

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

16813364400 is an equidigital number, since it uses as much as digits as its factorization.

16813364400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8280 (or 8254 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16813364400 in words is "sixteen billion, eight hundred thirteen million, three hundred sixty-four thousand, four hundred".