4934681184 has 144 divisors (see below), whose sum is σ = 13557786480. Its totient is φ = 1571328000.

The previous prime is 4934681179. The next prime is 4934681189. The reversal of 4934681184 is 4811864394.

It is an interprime number because it is at equal distance from previous prime (4934681179) and next prime (4934681189).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4934681189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8210484 + ... + 8211084.

It is an arithmetic number, because the mean of its divisors is an integer number (94151295).

Almost surely, 2^4934681184 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 4934681184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778893240).

4934681184 is an abundant number, since it is smaller than the sum of its proper divisors (8623105296).

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

4934681184 is a wasteful number, since it uses less digits than its factorization.

4934681184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 726 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 4934681184 is about 70247.2859546901. The cubic root of 4934681184 is about 1702.4970436876.

The spelling of 4934681184 in words is "four billion, nine hundred thirty-four million, six hundred eighty-one thousand, one hundred eighty-four".