4648573440000 has 3120 divisors, whose sum is σ = 21236560625280. Its totient is φ = 955514880000.

The previous prime is 4648573439999. The next prime is 4648573440011. The reversal of 4648573440000 is 443758464.

4648573440000 is a `hidden beast` number, since 4 + 64 + 85 + 73 + 440 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 113379839980 + ... + 113379840020.

It is an arithmetic number, because the mean of its divisors is an integer number (6806589944).

Almost surely, 2^{4648573440000} is an apocalyptic number.

4648573440000 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 4648573440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10618280312640).

4648573440000 is an abundant number, since it is smaller than the sum of its proper divisors (16587987185280).

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

4648573440000 is a wasteful number, since it uses less digits than its factorization.

4648573440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 4648573440000 in words is "four trillion, six hundred forty-eight billion, five hundred seventy-three million, four hundred forty thousand".