8404114048 has 96 divisors (see below), whose sum is σ = 19372248000. Its totient is φ = 3618869760.

The previous prime is 8404114001. The next prime is 8404114091.

8404114048 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279993 + ... + 308551.

It is an arithmetic number, because the mean of its divisors is an integer number (201794250).

Almost surely, 2^8404114048 is an apocalyptic number.

8404114048 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8404114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9686124000).

8404114048 is an abundant number, since it is smaller than the sum of its proper divisors (10968133952).

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

8404114048 is a wasteful number, since it uses less digits than its factorization.

8404114048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28614 (or 28591 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 8404114048 is about 91673.9551235791. The cubic root of 8404114048 is about 2033.1245248146.

It can be divided in two parts, 84041 and 14048, that added together give a palindrome (98089).

The spelling of 8404114048 in words is "eight billion, four hundred four million, one hundred fourteen thousand, forty-eight".