4503525051168 has 1152 divisors, whose sum is σ = 16852950616320. Its totient is φ = 1117633904640.

The previous prime is 4503525051121. The next prime is 4503525051169. The reversal of 4503525051168 is 8611505253054.

4503525051168 is a `hidden beast` number, since 4 + 5 + 0 + 3 + 525 + 0 + 5 + 116 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4503525051169) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3099465930 + ... + 3099467382.

It is an arithmetic number, because the mean of its divisors is an integer number (14629297410).

Almost surely, 2^{4503525051168} is an apocalyptic number.

4503525051168 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 4503525051168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426475308160).

4503525051168 is an abundant number, since it is smaller than the sum of its proper divisors (12349425565152).

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

4503525051168 is a wasteful number, since it uses less digits than its factorization.

4503525051168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 4503525051168 in words is "four trillion, five hundred three billion, five hundred twenty-five million, fifty-one thousand, one hundred sixty-eight".