6831145152 has 224 divisors, whose sum is σ = 21936821760. Its totient is φ = 2071802880.

The previous prime is 6831145147. The next prime is 6831145193. The reversal of 6831145152 is 2515411386.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1592803 + ... + 1597085.

It is an arithmetic number, because the mean of its divisors is an integer number (97932240).

Almost surely, 2^6831145152 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 6831145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968410880).

6831145152 is an abundant number, since it is smaller than the sum of its proper divisors (15105676608).

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

6831145152 is a wasteful number, since it uses less digits than its factorization.

6831145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388 (or 4372 counting only the distinct ones).

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

The square root of 6831145152 is about 82650.7419930396. The cubic root of 6831145152 is about 1897.4245023001.

The spelling of 6831145152 in words is "six billion, eight hundred thirty-one million, one hundred forty-five thousand, one hundred fifty-two".