16946053333632 has 288 divisors, whose sum is σ = 49488982276500. Its totient is φ = 5565685063680.

The previous prime is 16946053333621. The next prime is 16946053333669. The reversal of 16946053333632 is 23633335064961.

It is a happy number.

16946053333632 is a `hidden beast` number, since 1 + 6 + 9 + 46 + 0 + 533 + 3 + 3 + 63 + 2 = 666.

16946053333632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13895777111616 + 3050276222016 = 3727704^2 + 1746504^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×16946053333632² (a number of 27 digits) contains 22 as substring.

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, 2768507532 + ... + 2768513652.

Almost surely, 2^{16946053333632} is an apocalyptic number.

16946053333632 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 16946053333632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24744491138250).

16946053333632 is an abundant number, since it is smaller than the sum of its proper divisors (32542928942868).

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

16946053333632 is a wasteful number, since it uses less digits than its factorization.

16946053333632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6544 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 54.

The spelling of 16946053333632 in words is "sixteen trillion, nine hundred forty-six billion, fifty-three million, three hundred thirty-three thousand, six hundred thirty-two".