8346678822144 has 1152 divisors, whose sum is σ = 28912003904000. Its totient is φ = 2352859840512.

The previous prime is 8346678822133. The next prime is 8346678822149. The reversal of 8346678822144 is 4412288766438.

It is a happy number.

8346678822144 is a `hidden beast` number, since 8 + 3 + 466 + 7 + 8 + 8 + 22 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8346678822149) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14465647584 + ... + 14465648160.

Almost surely, 2^{8346678822144} 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 8346678822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14456001952000).

8346678822144 is an abundant number, since it is smaller than the sum of its proper divisors (20565325081856).

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

8346678822144 is a wasteful number, since it uses less digits than its factorization.

8346678822144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 880 counting only the distinct ones).

The product of its digits is 99090432, while the sum is 63.

The spelling of 8346678822144 in words is "eight trillion, three hundred forty-six billion, six hundred seventy-eight million, eight hundred twenty-two thousand, one hundred forty-four".