48198915200 has 72 divisors (see below), whose sum is σ = 119097069915. Its totient is φ = 19274598400.

The previous prime is 48198915187. The next prime is 48198915203. The reversal of 48198915200 is 251989184.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 23610166336 + 24588748864 = 153656^2 + 156808^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=155240.

It is not an unprimeable number, because it can be changed into a prime (48198915203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12417260 + ... + 12421140.

Almost surely, 2^48198915200 is an apocalyptic number.

48198915200 is a gapful number since it is divisible by the number (40) 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 48198915200

48198915200 is an abundant number, since it is smaller than the sum of its proper divisors (70898154715).

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

48198915200 is an frugal number, since it uses more digits than its factorization.

48198915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7786 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 47.

The spelling of 48198915200 in words is "forty-eight billion, one hundred ninety-eight million, nine hundred fifteen thousand, two hundred".