4509228206160 has 640 divisors, whose sum is σ = 16121613150720. Its totient is φ = 1157680742400.

The previous prime is 4509228206149. The next prime is 4509228206167. The reversal of 4509228206160 is 616028229054.

4509228206160 is a `hidden beast` number, since 4 + 5 + 0 + 9 + 2 + 2 + 8 + 20 + 616 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4509228206167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2285466934 + ... + 2285468906.

It is an arithmetic number, because the mean of its divisors is an integer number (25190020548).

Almost surely, 2^{4509228206160} is an apocalyptic number.

4509228206160 is a gapful number since it is divisible by the number (40) 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 4509228206160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060806575360).

4509228206160 is an abundant number, since it is smaller than the sum of its proper divisors (11612384944560).

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

4509228206160 is a wasteful number, since it uses less digits than its factorization.

4509228206160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4509228206160 in words is "four trillion, five hundred nine billion, two hundred twenty-eight million, two hundred six thousand, one hundred sixty".