6045689952 has 144 divisors (see below), whose sum is σ = 18133839360. Its totient is φ = 1905313536.

The previous prime is 6045689941. The next prime is 6045689981. The reversal of 6045689952 is 2599865406.

It is a happy number.

6045689952 is a `hidden beast` number, since 60 + 456 + 89 + 9 + 52 = 666.

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

It is a congruent number.

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, 4064953 + ... + 4066439.

It is an arithmetic number, because the mean of its divisors is an integer number (125929440).

Almost surely, 2^6045689952 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 6045689952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9066919680).

6045689952 is an abundant number, since it is smaller than the sum of its proper divisors (12088149408).

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

6045689952 is a wasteful number, since it uses less digits than its factorization.

6045689952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 6045689952 is about 77754.0349563931. The cubic root of 6045689952 is about 1821.7213871082.

The spelling of 6045689952 in words is "six billion, forty-five million, six hundred eighty-nine thousand, nine hundred fifty-two".