48446599024800 has 1440 divisors, whose sum is σ = 183379266100800. Its totient is φ = 12438992240640.

The previous prime is 48446599024717. The next prime is 48446599024801. The reversal of 48446599024800 is 842099564484.

48446599024800 is a `hidden beast` number, since 4 + 8 + 4 + 4 + 65 + 9 + 90 + 2 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×48446599024800² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48446599024801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 68330886846 + ... + 68330887554.

It is an arithmetic number, because the mean of its divisors is an integer number (127346712570).

Almost surely, 2^{48446599024800} is an apocalyptic number.

48446599024800 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 48446599024800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91689633050400).

48446599024800 is an abundant number, since it is smaller than the sum of its proper divisors (134932667076000).

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

48446599024800 is a wasteful number, since it uses less digits than its factorization.

48446599024800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 48446599024800 in words is "forty-eight trillion, four hundred forty-six billion, five hundred ninety-nine million, twenty-four thousand, eight hundred".