8106253417024 has 112 divisors (see below), whose sum is σ = 18405595790208. Its totient is φ = 3469997518848.

The previous prime is 8106253416991. The next prime is 8106253417079. The reversal of 8106253417024 is 4207143526018.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×8106253417024⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2256122172 + ... + 2256125764.

Almost surely, 2^{8106253417024} is an apocalyptic number.

It is an amenable number.

8106253417024 is an abundant number, since it is smaller than the sum of its proper divisors (10299342373184).

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

8106253417024 is a wasteful number, since it uses less digits than its factorization.

8106253417024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8172 (or 8162 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 8106253417024 in words is "eight trillion, one hundred six billion, two hundred fifty-three million, four hundred seventeen thousand, twenty-four".