10218285312 has 72 divisors (see below), whose sum is σ = 27245506176. Its totient is φ = 3399837696.

The previous prime is 10218285299. The next prime is 10218285359. The reversal of 10218285312 is 21358281201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415833 + ... + 439719.

It is an arithmetic number, because the mean of its divisors is an integer number (378409808).

Almost surely, 2^10218285312 is an apocalyptic number.

10218285312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10218285312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13622753088).

10218285312 is an abundant number, since it is smaller than the sum of its proper divisors (17027220864).

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

10218285312 is an equidigital number, since it uses as much as digits as its factorization.

10218285312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24463 (or 24449 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 10218285312 in words is "ten billion, two hundred eighteen million, two hundred eighty-five thousand, three hundred twelve".