48134995200 has 864 divisors, whose sum is σ = 189128867200. Its totient is φ = 12093235200.

The previous prime is 48134995187. The next prime is 48134995201. The reversal of 48134995200 is 259943184.

48134995200 is a `hidden beast` number, since 4 + 8 + 1 + 34 + 99 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48134995201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265939110 + ... + 265939290.

Almost surely, 2^48134995200 is an apocalyptic number.

48134995200 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 48134995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94564433600).

48134995200 is an abundant number, since it is smaller than the sum of its proper divisors (140993872000).

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

48134995200 is an equidigital number, since it uses as much as digits as its factorization.

48134995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 48134995200 in words is "forty-eight billion, one hundred thirty-four million, nine hundred ninety-five thousand, two hundred".