4468800086100 has 576 divisors, whose sum is σ = 17394131704320. Its totient is φ = 960823296000.

The previous prime is 4468800086087. The next prime is 4468800086141. The reversal of 4468800086100 is 16800088644.

4468800086100 is a `hidden beast` number, since 4 + 468 + 8 + 0 + 0 + 0 + 86 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 930803700 + ... + 930808500.

It is an arithmetic number, because the mean of its divisors is an integer number (30198145320).

Almost surely, 2^{4468800086100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4468800086100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8697065852160).

4468800086100 is an abundant number, since it is smaller than the sum of its proper divisors (12925331618220).

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

4468800086100 is a wasteful number, since it uses less digits than its factorization.

4468800086100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7745 (or 7732 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 4468800086100 in words is "four trillion, four hundred sixty-eight billion, eight hundred million, eighty-six thousand, one hundred".