16803556224 has 256 divisors, whose sum is σ = 57828288000. Its totient is φ = 4198293504.

The previous prime is 16803556213. The next prime is 16803556229. The reversal of 16803556224 is 42265530861.

16803556224 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16803556229) 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 31 ways as a sum of consecutive naturals, for example, 651282 + ... + 676590.

It is an arithmetic number, because the mean of its divisors is an integer number (225891750).

Almost surely, 2^16803556224 is an apocalyptic number.

16803556224 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 16803556224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28914144000).

16803556224 is an abundant number, since it is smaller than the sum of its proper divisors (41024731776).

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

16803556224 is a wasteful number, since it uses less digits than its factorization.

16803556224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25365 (or 25353 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 16803556224 in words is "sixteen billion, eight hundred three million, five hundred fifty-six thousand, two hundred twenty-four".