4688185937568 has 192 divisors, whose sum is σ = 14533263360000. Its totient is φ = 1322525498112.

The previous prime is 4688185937551. The next prime is 4688185937683. The reversal of 4688185937568 is 8657395818864.

It is a junction number, because it is equal to n+sod(n) for n = 4688185937493 and 4688185937502.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1700193 + ... + 3502431.

It is an arithmetic number, because the mean of its divisors is an integer number (75694080000).

Almost surely, 2^{4688185937568} is an apocalyptic number.

4688185937568 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 4688185937568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266631680000).

4688185937568 is an abundant number, since it is smaller than the sum of its proper divisors (9845077422432).

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

4688185937568 is a wasteful number, since it uses less digits than its factorization.

4688185937568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802352 (or 1802330 counting only the distinct ones).

The product of its digits is 2786918400, while the sum is 78.

The spelling of 4688185937568 in words is "four trillion, six hundred eighty-eight billion, one hundred eighty-five million, nine hundred thirty-seven thousand, five hundred sixty-eight".