2153946168 has 144 divisors (see below), whose sum is σ = 6650356440. Its totient is φ = 652639680.

The previous prime is 2153946167. The next prime is 2153946169. The reversal of 2153946168 is 8616493512.

2153946168 is a `hidden beast` number, since 21 + 5 + 3 + 9 + 4 + 616 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2153946167) and next prime (2153946169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153946163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230646 + ... + 239802.

Almost surely, 2^2153946168 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 2153946168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325178220).

2153946168 is an abundant number, since it is smaller than the sum of its proper divisors (4496410272).

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

2153946168 is a wasteful number, since it uses less digits than its factorization.

2153946168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9200 (or 9173 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2153946168 is about 46410.6255937151. The cubic root of 2153946168 is about 1291.4520372141.

The spelling of 2153946168 in words is "two billion, one hundred fifty-three million, nine hundred forty-six thousand, one hundred sixty-eight".