48010233600 has 864 divisors, whose sum is σ = 211889216000. Its totient is φ = 10391224320.

The previous prime is 48010233577. The next prime is 48010233637. The reversal of 48010233600 is 633201084.

It is a happy number.

48010233600 is a `hidden beast` number, since 48 + 0 + 10 + 2 + 3 + 3 + 600 = 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 (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 22981356 + ... + 22983444.

Almost surely, 2^48010233600 is an apocalyptic number.

48010233600 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 48010233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105944608000).

48010233600 is an abundant number, since it is smaller than the sum of its proper divisors (163878982400).

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

48010233600 is a wasteful number, since it uses less digits than its factorization.

48010233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 48010233600 its reverse (633201084), we get a palindrome (48643434684).

The spelling of 48010233600 in words is "forty-eight billion, ten million, two hundred thirty-three thousand, six hundred".