806886121439232 has 512 divisors, whose sum is σ = 2448094003200000. Its totient is φ = 262539752767488.

The previous prime is 806886121439221. The next prime is 806886121439243. The reversal of 806886121439232 is 232934121688608.

806886121439232 is a `hidden beast` number, since 8 + 0 + 6 + 8 + 8 + 612 + 1 + 4 + 3 + 9 + 2 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (806886121439221) and next prime (806886121439243).

It is a tau number, because it is divible by the number of its divisors (512).

It is a self number, because there is not a number n which added to its sum of digits gives 806886121439232.

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, 15759776769 + ... + 15759827967.

It is an arithmetic number, because the mean of its divisors is an integer number (4781433600000).

Almost surely, 2^{806886121439232} 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 806886121439232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224047001600000).

806886121439232 is an abundant number, since it is smaller than the sum of its proper divisors (1641207881760768).

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

806886121439232 is an equidigital number, since it uses as much as digits as its factorization.

806886121439232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51664 (or 51630 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 806886121439232 in words is "eight hundred six trillion, eight hundred eighty-six billion, one hundred twenty-one million, four hundred thirty-nine thousand, two hundred thirty-two".