4685168393424 has 480 divisors, whose sum is σ = 14207062245376. Its totient is φ = 1493061050880.

The previous prime is 4685168393419. The next prime is 4685168393429. The reversal of 4685168393424 is 4243938615864.

4685168393424 is a `hidden beast` number, since 4 + 6 + 8 + 516 + 8 + 3 + 93 + 4 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (4685168393419) and next prime (4685168393429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4685168393429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4699265694 + ... + 4699266690.

Almost surely, 2^{4685168393424} 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 4685168393424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103531122688).

4685168393424 is an abundant number, since it is smaller than the sum of its proper divisors (9521893851952).

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

4685168393424 is a wasteful number, since it uses less digits than its factorization.

4685168393424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1467 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 4685168393424 in words is "four trillion, six hundred eighty-five billion, one hundred sixty-eight million, three hundred ninety-three thousand, four hundred twenty-four".