8435135604168 has 1024 divisors, whose sum is σ = 31064850432000. Its totient is φ = 2057749069824.

The previous prime is 8435135604163. The next prime is 8435135604197. The reversal of 8435135604168 is 8614065315348.

It is a happy number.

8435135604168 is a `hidden beast` number, since 8 + 4 + 3 + 5 + 13 + 5 + 604 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8435135604163) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4795414473 + ... + 4795416231.

It is an arithmetic number, because the mean of its divisors is an integer number (30336768000).

Almost surely, 2^{8435135604168} 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 8435135604168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15532425216000).

8435135604168 is an abundant number, since it is smaller than the sum of its proper divisors (22629714827832).

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

8435135604168 is a wasteful number, since it uses less digits than its factorization.

8435135604168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 8435135604168 in words is "eight trillion, four hundred thirty-five billion, one hundred thirty-five million, six hundred four thousand, one hundred sixty-eight".