4509546048000 has 2400 divisors, whose sum is σ = 20063166531408. Its totient is φ = 1003290624000.

The previous prime is 4509546047947. The next prime is 4509546048019. The reversal of 4509546048000 is 8406459054.

4509546048000 is a `hidden beast` number, since 4 + 509 + 5 + 4 + 60 + 4 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 457473671424 + 4052072376576 = 676368^2 + 2012976^2 .

It is a tau number, because it is divible by the number of its divisors (2400).

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 239 ways as a sum of consecutive naturals, for example, 10414655784 + ... + 10414656216.

Almost surely, 2^{4509546048000} is an apocalyptic number.

4509546048000 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 4509546048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10031583265704).

4509546048000 is an abundant number, since it is smaller than the sum of its proper divisors (15553620483408).

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

4509546048000 is an equidigital number, since it uses as much as digits as its factorization.

4509546048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 491 counting only the distinct ones).

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

The spelling of 4509546048000 in words is "four trillion, five hundred nine billion, five hundred forty-six million, forty-eight thousand".