4506266128500 has 384 divisors, whose sum is σ = 15842770944000. Its totient is φ = 1101699792000.

The previous prime is 4506266128373. The next prime is 4506266128517. The reversal of 4506266128500 is 58216626054.

4506266128500 is a `hidden beast` number, since 4 + 5 + 0 + 6 + 26 + 612 + 8 + 5 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7668141 + ... + 8234859.

It is an arithmetic number, because the mean of its divisors is an integer number (41257216000).

Almost surely, 2^{4506266128500} 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 4506266128500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7921385472000).

4506266128500 is an abundant number, since it is smaller than the sum of its proper divisors (11336504815500).

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

4506266128500 is a wasteful number, since it uses less digits than its factorization.

4506266128500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566797 (or 566779 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 4506266128500 in words is "four trillion, five hundred six billion, two hundred sixty-six million, one hundred twenty-eight thousand, five hundred".