8400008000048 has 160 divisors (see below), whose sum is σ = 18858775104000. Its totient is φ = 3550266703872.

The previous prime is 8400008000039. The next prime is 8400008000053.

8400008000048 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8400007999978 and 8400008000023.

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 31 ways as a sum of consecutive naturals, for example, 2738833811 + ... + 2738836877.

It is an arithmetic number, because the mean of its divisors is an integer number (117867344400).

Almost surely, 2^{8400008000048} 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 8400008000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9429387552000).

8400008000048 is an abundant number, since it is smaller than the sum of its proper divisors (10458767103952).

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

8400008000048 is a wasteful number, since it uses less digits than its factorization.

8400008000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 8400008000048 in words is "eight trillion, four hundred billion, eight million, forty-eight", and thus it is an aban number.