6001145856 has 288 divisors, whose sum is σ = 18270252000. Its totient is φ = 1895104512.

The previous prime is 6001145849. The next prime is 6001145867. The reversal of 6001145856 is 6585411006.

6001145856 is a `hidden beast` number, since 60 + 0 + 1 + 14 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6001145856.

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, 55056330 + ... + 55056438.

It is an arithmetic number, because the mean of its divisors is an integer number (63438375).

Almost surely, 2^6001145856 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 6001145856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9135126000).

6001145856 is an abundant number, since it is smaller than the sum of its proper divisors (12269106144).

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

6001145856 is a wasteful number, since it uses less digits than its factorization.

6001145856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 6001145856 is about 77467.0630397203. The cubic root of 6001145856 is about 1817.2362609433.

The spelling of 6001145856 in words is "six billion, one million, one hundred forty-five thousand, eight hundred fifty-six".