16863849600 has 384 divisors, whose sum is σ = 60257601600. Its totient is φ = 4120657920.

The previous prime is 16863849599. The next prime is 16863849623. The reversal of 16863849600 is 694836861.

16863849600 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 (384).

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 47 ways as a sum of consecutive naturals, for example, 20341986 + ... + 20342814.

Almost surely, 2^16863849600 is an apocalyptic number.

16863849600 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 16863849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30128800800).

16863849600 is an abundant number, since it is smaller than the sum of its proper divisors (43393752000).

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

16863849600 is a wasteful number, since it uses less digits than its factorization.

16863849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 16863849600 in words is "sixteen billion, eight hundred sixty-three million, eight hundred forty-nine thousand, six hundred".