8012658416 has 160 divisors (see below), whose sum is σ = 20104427520. Its totient is φ = 3010867200.

The previous prime is 8012658391. The next prime is 8012658431. The reversal of 8012658416 is 6148562108.

It is a congruent number.

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, 2204921 + ... + 2208551.

It is an arithmetic number, because the mean of its divisors is an integer number (125652672).

Almost surely, 2^8012658416 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 8012658416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10052213760).

8012658416 is an abundant number, since it is smaller than the sum of its proper divisors (12091769104).

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

8012658416 is a wasteful number, since it uses less digits than its factorization.

8012658416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 8012658416 is about 89513.4538267852. The cubic root of 8012658416 is about 2001.0543121153.

The spelling of 8012658416 in words is "eight billion, twelve million, six hundred fifty-eight thousand, four hundred sixteen".