3646112166252 has 288 divisors, whose sum is σ = 10081262370816. Its totient is φ = 1107697852800.

The previous prime is 3646112166227. The next prime is 3646112166313. The reversal of 3646112166252 is 2526612116463.

3646112166252 is a `hidden beast` number, since 3 + 6 + 4 + 6 + 1 + 1 + 2 + 16 + 625 + 2 = 666.

3646112166252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3646112166198 and 3646112166207.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 662565333 + ... + 662570835.

It is an arithmetic number, because the mean of its divisors is an integer number (35004383232).

Almost surely, 2^{3646112166252} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3646112166252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040631185408).

3646112166252 is an abundant number, since it is smaller than the sum of its proper divisors (6435150204564).

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

3646112166252 is a wasteful number, since it uses less digits than its factorization.

3646112166252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5961 (or 5956 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 3646112166252 in words is "three trillion, six hundred forty-six billion, one hundred twelve million, one hundred sixty-six thousand, two hundred fifty-two".