8292438351216 has 240 divisors, whose sum is σ = 24638196492000. Its totient is φ = 2594598469632.

The previous prime is 8292438351203. The next prime is 8292438351227. The reversal of 8292438351216 is 6121538342928.

8292438351216 is a `hidden beast` number, since 8 + 2 + 9 + 2 + 43 + 83 + 512 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1626284635 + ... + 1626289733.

It is an arithmetic number, because the mean of its divisors is an integer number (102659152050).

Almost surely, 2^{8292438351216} 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 8292438351216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12319098246000).

8292438351216 is an abundant number, since it is smaller than the sum of its proper divisors (16345758140784).

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

8292438351216 is a wasteful number, since it uses less digits than its factorization.

8292438351216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6776 (or 6767 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 8292438351216 in words is "eight trillion, two hundred ninety-two billion, four hundred thirty-eight million, three hundred fifty-one thousand, two hundred sixteen".