48330691200 has 1440 divisors, whose sum is σ = 207615149280. Its totient is φ = 11039846400.

The previous prime is 48330691181. The next prime is 48330691207. The reversal of 48330691200 is 219603384.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48330691207) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 721353567 + ... + 721353633.

It is an arithmetic number, because the mean of its divisors is an integer number (144177187).

Almost surely, 2^48330691200 is an apocalyptic number.

48330691200 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 48330691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103807574640).

48330691200 is an abundant number, since it is smaller than the sum of its proper divisors (159284458080).

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

48330691200 is a wasteful number, since it uses less digits than its factorization.

48330691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 48330691200 in words is "forty-eight billion, three hundred thirty million, six hundred ninety-one thousand, two hundred".