16894886400 has 1080 divisors, whose sum is σ = 73035926964. Its totient is φ = 3715891200.

The previous prime is 16894886353. The next prime is 16894886423. The reversal of 16894886400 is 468849861.

It can be written as a sum of positive squares in 6 ways, for example, as 2506404096 + 14388482304 = 50064^2 + 119952^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 231436764 + ... + 231436836.

Almost surely, 2^16894886400 is an apocalyptic number.

16894886400 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 16894886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36517963482).

16894886400 is an abundant number, since it is smaller than the sum of its proper divisors (56141040564).

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

16894886400 is a wasteful number, since it uses less digits than its factorization.

16894886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 16894886400 in words is "sixteen billion, eight hundred ninety-four million, eight hundred eighty-six thousand, four hundred".