6148832256 has 176 divisors, whose sum is σ = 20811930880. Its totient is φ = 1756753920.

The previous prime is 6148832251. The next prime is 6148832317. The reversal of 6148832256 is 6522388416.

6148832256 is a `hidden beast` number, since 614 + 8 + 8 + 3 + 2 + 25 + 6 = 666.

It is a super-2 number, since 2×6148832256² = 75616276224852099072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6148832251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177651 + ... + 209421.

Almost surely, 2^6148832256 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 6148832256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10405965440).

6148832256 is an abundant number, since it is smaller than the sum of its proper divisors (14663098624).

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

6148832256 is a wasteful number, since it uses less digits than its factorization.

6148832256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31807 (or 31783 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 6148832256 is about 78414.4900895236. The cubic root of 6148832256 is about 1832.0228317235.

The spelling of 6148832256 in words is "six billion, one hundred forty-eight million, eight hundred thirty-two thousand, two hundred fifty-six".