4608533809152 has 2304 divisors, whose sum is σ = 18452738304000. Its totient is φ = 1105626267648.

The previous prime is 4608533809147. The next prime is 4608533809193. The reversal of 4608533809152 is 2519083358064.

4608533809152 is a `hidden beast` number, since 4 + 60 + 8 + 53 + 380 + 9 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 78110742499 + ... + 78110742557.

It is an arithmetic number, because the mean of its divisors is an integer number (8009001000).

Almost surely, 2^{4608533809152} is an apocalyptic number.

4608533809152 is a gapful number since it is divisible by the number (42) 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 4608533809152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9226369152000).

4608533809152 is an abundant number, since it is smaller than the sum of its proper divisors (13844204494848).

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

4608533809152 is a wasteful number, since it uses less digits than its factorization.

4608533809152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 4608533809152 in words is "four trillion, six hundred eight billion, five hundred thirty-three million, eight hundred nine thousand, one hundred fifty-two".