16689441600 has 252 divisors, whose sum is σ = 63881872236. Its totient is φ = 4108124160.

The previous prime is 16689441577. The next prime is 16689441617. The reversal of 16689441600 is 614498661.

It can be written as a sum of positive squares in 6 ways, for example, as 3539774016 + 13149667584 = 59496^2 + 114672^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142624 + ... + 231776.

It is an arithmetic number, because the mean of its divisors is an integer number (253499493).

Almost surely, 2^16689441600 is an apocalyptic number.

16689441600 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 16689441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31940936118).

16689441600 is an abundant number, since it is smaller than the sum of its proper divisors (47192430636).

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

16689441600 is a wasteful number, since it uses less digits than its factorization.

16689441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89194 (or 89176 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 16689441600 in words is "sixteen billion, six hundred eighty-nine million, four hundred forty-one thousand, six hundred".