4791952152 has 192 divisors, whose sum is σ = 14964768000. Its totient is φ = 1372868352.

The previous prime is 4791952147. The next prime is 4791952219. The reversal of 4791952152 is 2512591974.

4791952152 is a `hidden beast` number, since 4 + 79 + 1 + 9 + 521 + 52 = 666.

It is a super-2 number, since 2×4791952152² = 45925610854114862208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4791952098 and 4791952107.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1046973 + ... + 1051539.

It is an arithmetic number, because the mean of its divisors is an integer number (77941500).

Almost surely, 2^4791952152 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 4791952152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7482384000).

4791952152 is an abundant number, since it is smaller than the sum of its proper divisors (10172815848).

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

4791952152 is a wasteful number, since it uses less digits than its factorization.

4791952152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4663 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 4791952152 is about 69223.9275973272. The cubic root of 4791952152 is about 1685.9220507437.

The spelling of 4791952152 in words is "four billion, seven hundred ninety-one million, nine hundred fifty-two thousand, one hundred fifty-two".