848004400000 has 192 divisors, whose sum is σ = 2128348776960. Its totient is φ = 336510720000.

The previous prime is 848004399997. The next prime is 848004400003. The reversal of 848004400000 is 4400848.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (848004399997) and next prime (848004400003).

It is a super-2 number, since 2×848004400000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (848004400003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50791654 + ... + 50808346.

It is an arithmetic number, because the mean of its divisors is an integer number (11085149880).

Almost surely, 2^848004400000 is an apocalyptic number.

848004400000 is a gapful number since it is divisible by the number (80) 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 848004400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064174388480).

848004400000 is an abundant number, since it is smaller than the sum of its proper divisors (1280344376960).

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

848004400000 is an equidigital number, since it uses as much as digits as its factorization.

848004400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16859 (or 16827 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 848004400000 its reverse (4400848), we get a palindrome (848008800848).

The spelling of 848004400000 in words is "eight hundred forty-eight billion, four million, four hundred thousand".