4648558464 has 128 divisors (see below), whose sum is σ = 14967072000. Its totient is φ = 1408642560.

The previous prime is 4648558457. The next prime is 4648558477.

4648558464 is a `hidden beast` number, since 4 + 6 + 48 + 558 + 46 + 4 = 666.

4648558464 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4648558464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23124 + ... + 99155.

It is an arithmetic number, because the mean of its divisors is an integer number (116930250).

Almost surely, 2^4648558464 is an apocalyptic number.

4648558464 is a gapful number since it is divisible by the number (44) 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 4648558464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483536000).

4648558464 is an abundant number, since it is smaller than the sum of its proper divisors (10318513536).

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

4648558464 is a wasteful number, since it uses less digits than its factorization.

4648558464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122313 (or 122295 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The square root of 4648558464 is about 68180.3378108381. The cubic root of 4648558464 is about 1668.9350380851.

The spelling of 4648558464 in words is "four billion, six hundred forty-eight million, five hundred fifty-eight thousand, four hundred sixty-four".