4468802546208 has 576 divisors, whose sum is σ = 15933675856896. Its totient is φ = 1067109120000.

The previous prime is 4468802546207. The next prime is 4468802546231. The reversal of 4468802546208 is 8026452088644.

It is not an unprimeable number, because it can be changed into a prime (4468802546203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265312635 + ... + 265329477.

It is an arithmetic number, because the mean of its divisors is an integer number (27662631696).

Almost surely, 2^{4468802546208} is an apocalyptic number.

4468802546208 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 4468802546208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7966837928448).

4468802546208 is an abundant number, since it is smaller than the sum of its proper divisors (11464873310688).

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

4468802546208 is a wasteful number, since it uses less digits than its factorization.

4468802546208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17149 (or 17130 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 57.

The spelling of 4468802546208 in words is "four trillion, four hundred sixty-eight billion, eight hundred two million, five hundred forty-six thousand, two hundred eight".