16646811552 has 360 divisors, whose sum is σ = 58048931556. Its totient is φ = 4664604672.

The previous prime is 16646811539. The next prime is 16646811583. The reversal of 16646811552 is 25511864661.

16646811552 is a `hidden beast` number, since 16 + 6 + 4 + 6 + 81 + 1 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15686059536 + 960752016 = 125244^2 + 30996^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16646811498 and 16646811507.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6730188 + ... + 6732660.

Almost surely, 2^16646811552 is an apocalyptic number.

16646811552 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 16646811552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29024465778).

16646811552 is an abundant number, since it is smaller than the sum of its proper divisors (41402120004).

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

16646811552 is a wasteful number, since it uses less digits than its factorization.

16646811552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562 (or 2538 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 16646811552 in words is "sixteen billion, six hundred forty-six million, eight hundred eleven thousand, five hundred fifty-two".