6146849952 has 144 divisors (see below), whose sum is σ = 18013800168. Its totient is φ = 1987338240.

The previous prime is 6146849941. The next prime is 6146849983. The reversal of 6146849952 is 2599486416.

6146849952 is a `hidden beast` number, since 6 + 146 + 8 + 499 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4949966736 + 1196883216 = 70356^2 + 34596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1280068 + ... + 1284860.

Almost surely, 2^6146849952 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 6146849952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9006900084).

6146849952 is an abundant number, since it is smaller than the sum of its proper divisors (11866950216).

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

6146849952 is a wasteful number, since it uses less digits than its factorization.

6146849952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943 (or 4932 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 6146849952 is about 78401.8491618661. The cubic root of 6146849952 is about 1831.8259370737.

The spelling of 6146849952 in words is "six billion, one hundred forty-six million, eight hundred forty-nine thousand, nine hundred fifty-two".