8345691360468 has 288 divisors, whose sum is σ = 27853554613248. Its totient is φ = 2039845708800.

The previous prime is 8345691360449. The next prime is 8345691360481. The reversal of 8345691360468 is 8640631965438.

8345691360468 is a `hidden beast` number, since 8 + 3 + 4 + 5 + 6 + 9 + 13 + 604 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 362419171 + ... + 362442197.

It is an arithmetic number, because the mean of its divisors is an integer number (96713731296).

Almost surely, 2^{8345691360468} 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 8345691360468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13926777306624).

8345691360468 is an abundant number, since it is smaller than the sum of its proper divisors (19507863252780).

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

8345691360468 is a wasteful number, since it uses less digits than its factorization.

8345691360468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30763 (or 30758 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 8345691360468 in words is "eight trillion, three hundred forty-five billion, six hundred ninety-one million, three hundred sixty thousand, four hundred sixty-eight".