4152306963168 has 864 divisors, whose sum is σ = 15379464129120. Its totient is φ = 1092332666880.

The previous prime is 4152306963163. The next prime is 4152306963169. The reversal of 4152306963168 is 8613696032514.

4152306963168 is a `hidden beast` number, since 4 + 1 + 5 + 230 + 6 + 96 + 316 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4152306963163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2580674748 + ... + 2580676356.

It is an arithmetic number, because the mean of its divisors is an integer number (17800305705).

Almost surely, 2^{4152306963168} is an apocalyptic number.

4152306963168 is a gapful number since it is divisible by the number (48) 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 4152306963168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689732064560).

4152306963168 is an abundant number, since it is smaller than the sum of its proper divisors (11227157165952).

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

4152306963168 is a wasteful number, since it uses less digits than its factorization.

4152306963168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 4152306963168 in words is "four trillion, one hundred fifty-two billion, three hundred six million, nine hundred sixty-three thousand, one hundred sixty-eight".