6165248256 has 432 divisors, whose sum is σ = 19999150080. Its totient is φ = 1888634880.

The previous prime is 6165248251. The next prime is 6165248291. The reversal of 6165248256 is 6528425616.

6165248256 is a `hidden beast` number, since 6 + 165 + 2 + 482 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×6165248256² = 76020572116222083072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6165248251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44354235 + ... + 44354373.

Almost surely, 2^6165248256 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 6165248256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999575040).

6165248256 is an abundant number, since it is smaller than the sum of its proper divisors (13833901824).

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

6165248256 is a wasteful number, since it uses less digits than its factorization.

6165248256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 6165248256 is about 78519.0948495969. The cubic root of 6165248256 is about 1833.6517460247.

The spelling of 6165248256 in words is "six billion, one hundred sixty-five million, two hundred forty-eight thousand, two hundred fifty-six".