4931149104 has 200 divisors, whose sum is σ = 16645437600. Its totient is φ = 1408772736.

The previous prime is 4931149079. The next prime is 4931149123. The reversal of 4931149104 is 4019411394.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 438982 + ... + 450074.

It is an arithmetic number, because the mean of its divisors is an integer number (83227188).

Almost surely, 2^4931149104 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 4931149104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8322718800).

4931149104 is an abundant number, since it is smaller than the sum of its proper divisors (11714288496).

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

4931149104 is a wasteful number, since it uses less digits than its factorization.

4931149104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11134 (or 11105 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4931149104 is about 70222.1411237225. The cubic root of 4931149104 is about 1702.0907498918.

The spelling of 4931149104 in words is "four billion, nine hundred thirty-one million, one hundred forty-nine thousand, one hundred four".