8353516179456 has 624 divisors, whose sum is σ = 28650108125184. Its totient is φ = 2382361362432.

The previous prime is 8353516179431. The next prime is 8353516179511. The reversal of 8353516179456 is 6549716153538.

8353516179456 is a `hidden beast` number, since 8 + 3 + 5 + 3 + 5 + 1 + 6 + 179 + 456 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8353516179393 and 8353516179402.

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, 7573450201 + ... + 7573451303.

It is an arithmetic number, because the mean of its divisors is an integer number (45913634816).

Almost surely, 2^{8353516179456} 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 8353516179456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14325054062592).

8353516179456 is an abundant number, since it is smaller than the sum of its proper divisors (20296591945728).

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

8353516179456 is a wasteful number, since it uses less digits than its factorization.

8353516179456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2202 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 8353516179456 in words is "eight trillion, three hundred fifty-three billion, five hundred sixteen million, one hundred seventy-nine thousand, four hundred fifty-six".