4861181952 has 420 divisors, whose sum is σ = 16331334936. Its totient is φ = 1433272320.

The previous prime is 4861181911. The next prime is 4861181953. The reversal of 4861181952 is 2591811684.

It is a happy number.

4861181952 is a `hidden beast` number, since 486 + 1 + 1 + 81 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4861181898 and 4861181907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4861181953) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 131383278 + ... + 131383314.

Almost surely, 2^4861181952 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 4861181952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8165667468).

4861181952 is an abundant number, since it is smaller than the sum of its proper divisors (11470152984).

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

4861181952 is an frugal number, since it uses more digits than its factorization.

4861181952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 4861181952 is about 69722.1769023314. The cubic root of 4861181952 is about 1694.0021568329.

The spelling of 4861181952 in words is "four billion, eight hundred sixty-one million, one hundred eighty-one thousand, nine hundred fifty-two".