6306146500 has 48 divisors (see below), whose sum is σ = 13807750320. Its totient is φ = 2516025600.

The previous prime is 6306146479. The next prime is 6306146593. The reversal of 6306146500 is 56416036.

It can be written as a sum of positive squares in 8 ways, for example, as 2263475776 + 4042670724 = 47576^2 + 63582^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182616 + ... + 214384.

It is an arithmetic number, because the mean of its divisors is an integer number (287661465).

Almost surely, 2^6306146500 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 6306146500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6903875160).

6306146500 is an abundant number, since it is smaller than the sum of its proper divisors (7501603820).

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

6306146500 is a wasteful number, since it uses less digits than its factorization.

6306146500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32185 (or 32173 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 6306146500 is about 79411.2492031198. The cubic root of 6306146500 is about 1847.5151933944.

It can be divided in two parts, 63061 and 46500, that added together give a square (109561 = 331²).

The spelling of 6306146500 in words is "six billion, three hundred six million, one hundred forty-six thousand, five hundred".