8849885700096 has 448 divisors, whose sum is σ = 30039428424960. Its totient is φ = 2522346946560.

The previous prime is 8849885700079. The next prime is 8849885700127. The reversal of 8849885700096 is 6900075889488.

8849885700096 is a `hidden beast` number, since 8 + 8 + 49 + 8 + 8 + 570 + 0 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8849885699997 and 8849885700033.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651822460 + ... + 651836036.

Almost surely, 2^{8849885700096} 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 8849885700096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15019714212480).

8849885700096 is an abundant number, since it is smaller than the sum of its proper divisors (21189542724864).

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

8849885700096 is a wasteful number, since it uses less digits than its factorization.

8849885700096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14040 (or 14010 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 8849885700096 in words is "eight trillion, eight hundred forty-nine billion, eight hundred eighty-five million, seven hundred thousand, ninety-six".