8649182820096 has 540 divisors, whose sum is σ = 32308774526952. Its totient is φ = 2281099677696.

The previous prime is 8649182820077. The next prime is 8649182820121. The reversal of 8649182820096 is 6900282819468.

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 12881431 + ... + 13536233.

Almost surely, 2^{8649182820096} 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 8649182820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16154387263476).

8649182820096 is an abundant number, since it is smaller than the sum of its proper divisors (23659591706856).

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

8649182820096 is a wasteful number, since it uses less digits than its factorization.

8649182820096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654858 (or 654828 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 8649182820096 in words is "eight trillion, six hundred forty-nine billion, one hundred eighty-two million, eight hundred twenty thousand, ninety-six".