8048198400 has 432 divisors, whose sum is σ = 29563107840. Its totient is φ = 1911603200.

The previous prime is 8048198381. The next prime is 8048198441. The reversal of 8048198400 is 48918408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11193241 + ... + 11193959.

It is an arithmetic number, because the mean of its divisors is an integer number (68433120).

Almost surely, 2^8048198400 is an apocalyptic number.

8048198400 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 8048198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14781553920).

8048198400 is an abundant number, since it is smaller than the sum of its proper divisors (21514909440).

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

8048198400 is a wasteful number, since it uses less digits than its factorization.

8048198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 8048198400 is about 89711.7517385543. The cubic root of 8048198400 is about 2004.0084939541.

The spelling of 8048198400 in words is "eight billion, forty-eight million, one hundred ninety-eight thousand, four hundred".