48866328000 has 1512 divisors, whose sum is σ = 222265676880. Its totient is φ = 10581580800.

The previous prime is 48866327989. The next prime is 48866328001. The reversal of 48866328000 is 82366884.

It is a happy number.

48866328000 is a `hidden beast` number, since 4 + 8 + 8 + 6 + 632 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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 (48866328001) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 2571911991 + ... + 2571912009.

Almost surely, 2^48866328000 is an apocalyptic number.

48866328000 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 48866328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111132838440).

48866328000 is an abundant number, since it is smaller than the sum of its proper divisors (173399348880).

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

48866328000 is an frugal number, since it uses more digits than its factorization.

48866328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 48866328000 in words is "forty-eight billion, eight hundred sixty-six million, three hundred twenty-eight thousand".