4812500406168 has 512 divisors, whose sum is σ = 16792286515200. Its totient is φ = 1243139788800.

The previous prime is 4812500406151. The next prime is 4812500406229. The reversal of 4812500406168 is 8616040052184.

It is a happy number.

4812500406168 is a `hidden beast` number, since 4 + 8 + 1 + 25 + 0 + 0 + 4 + 0 + 616 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 657351948 + ... + 657359268.

It is an arithmetic number, because the mean of its divisors is an integer number (32797434600).

Almost surely, 2^{4812500406168} 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 4812500406168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8396143257600).

4812500406168 is an abundant number, since it is smaller than the sum of its proper divisors (11979786109032).

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

4812500406168 is a wasteful number, since it uses less digits than its factorization.

4812500406168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8040 (or 8030 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 4812500406168 in words is "four trillion, eight hundred twelve billion, five hundred million, four hundred six thousand, one hundred sixty-eight".