4811959152 has 720 divisors, whose sum is σ = 19450005120. Its totient is φ = 1088640000.

The previous prime is 4811959151. The next prime is 4811959169. The reversal of 4811959152 is 2519591184.

4811959152 is a `hidden beast` number, since 4 + 8 + 1 + 1 + 9 + 591 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4811959098 and 4811959107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4811959151) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19171027 + ... + 19171277.

It is an arithmetic number, because the mean of its divisors is an integer number (27013896).

Almost surely, 2^4811959152 is an apocalyptic number.

4811959152 is a gapful number since it is divisible by the number (42) 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 4811959152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9725002560).

4811959152 is an abundant number, since it is smaller than the sum of its proper divisors (14638045968).

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

4811959152 is a wasteful number, since it uses less digits than its factorization.

4811959152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 306 counting only the distinct ones).

The product of its digits is 129600, while the sum is 45.

The square root of 4811959152 is about 69368.2863562305. The cubic root of 4811959152 is about 1688.2651047727.

The spelling of 4811959152 in words is "four billion, eight hundred eleven million, nine hundred fifty-nine thousand, one hundred fifty-two".