8290951338168 has 160 divisors (see below), whose sum is σ = 23760840470400. Its totient is φ = 2700139344192.

The previous prime is 8290951338133. The next prime is 8290951338169. The reversal of 8290951338168 is 8618331590928.

8290951338168 is a `hidden beast` number, since 8 + 2 + 90 + 9 + 51 + 338 + 168 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8290951338169) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5566605 + ... + 6897027.

It is an arithmetic number, because the mean of its divisors is an integer number (148505252940).

Almost surely, 2^{8290951338168} 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 8290951338168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11880420235200).

8290951338168 is an abundant number, since it is smaller than the sum of its proper divisors (15469889132232).

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

8290951338168 is a wasteful number, since it uses less digits than its factorization.

8290951338168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330663 (or 1330650 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 8290951338168 in words is "eight trillion, two hundred ninety billion, nine hundred fifty-one million, three hundred thirty-eight thousand, one hundred sixty-eight".