8013321216 has 66 divisors (see below), whose sum is σ = 23138317722. Its totient is φ = 2671104000.

The previous prime is 8013321191. The next prime is 8013321241. The reversal of 8013321216 is 6121233108.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8013321191) and next prime (8013321241).

It can be written as a sum of positive squares in only one way, i.e., 7039881216 + 973440000 = 83904^2 + 31200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8013321216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 425535 + ... + 443966.

Almost surely, 2^8013321216 is an apocalyptic number.

It is an amenable number.

8013321216 is an abundant number, since it is smaller than the sum of its proper divisors (15124996506).

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

8013321216 is a wasteful number, since it uses less digits than its factorization.

8013321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869527 (or 869506 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8013321216 is about 89517.1559869950. The cubic root of 8013321216 is about 2001.1094857402.

The spelling of 8013321216 in words is "eight billion, thirteen million, three hundred twenty-one thousand, two hundred sixteen".