8082498187008 has 1152 divisors, whose sum is σ = 30469662720000. Its totient is φ = 2103008624640.

The previous prime is 8082498186953. The next prime is 8082498187013. The reversal of 8082498187008 is 8007818942808.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1249416798 + ... + 1249423266.

It is an arithmetic number, because the mean of its divisors is an integer number (26449360000).

Almost surely, 2^{8082498187008} 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 8082498187008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15234831360000).

8082498187008 is an abundant number, since it is smaller than the sum of its proper divisors (22387164532992).

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

8082498187008 is a wasteful number, since it uses less digits than its factorization.

8082498187008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6563 (or 6529 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 63.

The spelling of 8082498187008 in words is "eight trillion, eighty-two billion, four hundred ninety-eight million, one hundred eighty-seven thousand, eight".