16546760352 has 168 divisors, whose sum is σ = 48959024436. Its totient is φ = 5502422016.

The previous prime is 16546760341. The next prime is 16546760359. The reversal of 16546760352 is 25306764561.

16546760352 is a `hidden beast` number, since 1 + 6 + 546 + 76 + 0 + 35 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15776364816 + 770395536 = 125604^2 + 27756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16546760298 and 16546760307.

It is not an unprimeable number, because it can be changed into a prime (16546760359) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17658828 + ... + 17659764.

Almost surely, 2^16546760352 is an apocalyptic number.

16546760352 is a gapful number since it is divisible by the number (12) 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 16546760352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24479512218).

16546760352 is an abundant number, since it is smaller than the sum of its proper divisors (32412264084).

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

16546760352 is an frugal number, since it uses more digits than its factorization.

16546760352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 16546760352 in words is "sixteen billion, five hundred forty-six million, seven hundred sixty thousand, three hundred fifty-two".