16875049216 has 81 divisors (see below), whose sum is σ = 35312419429. Its totient is φ = 8047812608.

The previous prime is 16875049189. The next prime is 16875049223. The reversal of 16875049216 is 61294057861.

It is a happy number.

The square root of 16875049216 is 129904.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6855840000 + 10019209216 = 82800^2 + 100096^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16875049216.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47804496 + ... + 47804848.

Almost surely, 2^16875049216 is an apocalyptic number.

16875049216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16875049216 is the 129904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16875049216

16875049216 is an abundant number, since it is smaller than the sum of its proper divisors (18437370213).

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

16875049216 is an frugal number, since it uses more digits than its factorization.

16875049216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 16875049216 by its sum of digits (49), we get a square (826877411584 = 909328²).

The spelling of 16875049216 in words is "sixteen billion, eight hundred seventy-five million, forty-nine thousand, two hundred sixteen".