6144509952 has 144 divisors (see below), whose sum is σ = 20282109120. Its totient is φ = 1755537408.

The previous prime is 6144509947. The next prime is 6144510013. The reversal of 6144509952 is 2599054416.

6144509952 is a `hidden beast` number, since 61 + 4 + 450 + 99 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6144509898 and 6144509907.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105213 + ... + 152835.

It is an arithmetic number, because the mean of its divisors is an integer number (140847980).

Almost surely, 2^6144509952 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 6144509952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10141054560).

6144509952 is an abundant number, since it is smaller than the sum of its proper divisors (14137599168).

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

6144509952 is a wasteful number, since it uses less digits than its factorization.

6144509952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47658 (or 47635 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 6144509952 is about 78386.9246239448. The cubic root of 6144509952 is about 1831.5934593673.

The spelling of 6144509952 in words is "six billion, one hundred forty-four million, five hundred nine thousand, nine hundred fifty-two".