4502251047168 has 648 divisors, whose sum is σ = 15623298710880. Its totient is φ = 1275160320000.

The previous prime is 4502251047143. The next prime is 4502251047221. The reversal of 4502251047168 is 8617401522054.

4502251047168 is a `hidden beast` number, since 4 + 5 + 0 + 2 + 2 + 510 + 4 + 71 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17937255043 + ... + 17937255293.

Almost surely, 2^{4502251047168} is an apocalyptic number.

4502251047168 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 4502251047168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7811649355440).

4502251047168 is an abundant number, since it is smaller than the sum of its proper divisors (11121047663712).

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

4502251047168 is an equidigital number, since it uses as much as digits as its factorization.

4502251047168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 4502251047168 in words is "four trillion, five hundred two billion, two hundred fifty-one million, forty-seven thousand, one hundred sixty-eight".