4854838464 has 224 divisors, whose sum is σ = 16646144000. Its totient is φ = 1386927360.

The previous prime is 4854838453. The next prime is 4854838477. The reversal of 4854838464 is 4648384584.

It is a happy number.

4854838464 is a `hidden beast` number, since 4 + 8 + 548 + 38 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 4854838464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588609 + ... + 596799.

Almost surely, 2^4854838464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4854838464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323072000).

4854838464 is an abundant number, since it is smaller than the sum of its proper divisors (11791305536).

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

4854838464 is an equidigital number, since it uses as much as digits as its factorization.

4854838464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8203 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The square root of 4854838464 is about 69676.6708733992. The cubic root of 4854838464 is about 1693.2649863225.

The spelling of 4854838464 in words is "four billion, eight hundred fifty-four million, eight hundred thirty-eight thousand, four hundred sixty-four".