4502259816768 has 1120 divisors, whose sum is σ = 16241242152960. Its totient is φ = 1210532843520.

The previous prime is 4502259816751. The next prime is 4502259816779. The reversal of 4502259816768 is 8676189522054.

4502259816768 is a `hidden beast` number, since 4 + 5 + 0 + 22 + 598 + 16 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16022276788 + ... + 16022277068.

Almost surely, 2^{4502259816768} is an apocalyptic number.

4502259816768 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 4502259816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8120621076480).

4502259816768 is an abundant number, since it is smaller than the sum of its proper divisors (11738982336192).

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

4502259816768 is an frugal number, since it uses more digits than its factorization.

4502259816768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 4502259816768 in words is "four trillion, five hundred two billion, two hundred fifty-nine million, eight hundred sixteen thousand, seven hundred sixty-eight".