4648807144800 has 3456 divisors, whose sum is σ = 22166181273600. Its totient is φ = 943720243200.

The previous prime is 4648807144789. The next prime is 4648807144801. The reversal of 4648807144800 is 84417088464.

4648807144800 is a `hidden beast` number, since 46 + 48 + 80 + 7 + 1 + 4 + 480 + 0 = 666.

It is a super-2 number, since 2×4648807144800² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4648807144801) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 26871717514 + ... + 26871717686.

It is an arithmetic number, because the mean of its divisors is an integer number (6413825600).

Almost surely, 2^{4648807144800} is an apocalyptic number.

4648807144800 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 4648807144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11083090636800).

4648807144800 is an abundant number, since it is smaller than the sum of its proper divisors (17517374128800).

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

4648807144800 is a wasteful number, since it uses less digits than its factorization.

4648807144800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 4648807144800 in words is "four trillion, six hundred forty-eight billion, eight hundred seven million, one hundred forty-four thousand, eight hundred".