48896224819200 has 2304 divisors, whose sum is σ = 208831633920000. Its totient is φ = 11089015603200.

The previous prime is 48896224819051. The next prime is 48896224819261. The reversal of 48896224819200 is 291842269884.

48896224819200 is a `hidden beast` number, since 4 + 8 + 8 + 9 + 62 + 2 + 481 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 23980491781 + ... + 23980493819.

It is an arithmetic number, because the mean of its divisors is an integer number (90638730000).

Almost surely, 2^{48896224819200} is an apocalyptic number.

48896224819200 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 48896224819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104415816960000).

48896224819200 is an abundant number, since it is smaller than the sum of its proper divisors (159935409100800).

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

48896224819200 is a wasteful number, since it uses less digits than its factorization.

48896224819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 48896224819200 in words is "forty-eight trillion, eight hundred ninety-six billion, two hundred twenty-four million, eight hundred nineteen thousand, two hundred".