8035725118464 has 528 divisors, whose sum is σ = 24475617548928. Its totient is φ = 2632976990208.

The previous prime is 8035725118459. The next prime is 8035725118523. The reversal of 8035725118464 is 4648115275308.

It is a happy number.

8035725118464 is a `hidden beast` number, since 8 + 0 + 3 + 572 + 5 + 1 + 1 + 8 + 4 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8035725118464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3647627187 + ... + 3647629389.

Almost surely, 2^{8035725118464} 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 8035725118464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12237808774464).

8035725118464 is an abundant number, since it is smaller than the sum of its proper divisors (16439892430464).

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

8035725118464 is a wasteful number, since it uses less digits than its factorization.

8035725118464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 8035725118464 in words is "eight trillion, thirty-five billion, seven hundred twenty-five million, one hundred eighteen thousand, four hundred sixty-four".