48338035200 has 1920 divisors, whose sum is σ = 230160268800. Its totient is φ = 9661317120.

The previous prime is 48338035181. The next prime is 48338035201. The reversal of 48338035200 is 253083384.

48338035200 is a `hidden beast` number, since 48 + 3 + 380 + 35 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48338035201) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 912038374 + ... + 912038426.

It is an arithmetic number, because the mean of its divisors is an integer number (119875140).

Almost surely, 2^48338035200 is an apocalyptic number.

48338035200 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 48338035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115080134400).

48338035200 is an abundant number, since it is smaller than the sum of its proper divisors (181822233600).

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

48338035200 is a wasteful number, since it uses less digits than its factorization.

48338035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 48338035200 in words is "forty-eight billion, three hundred thirty-eight million, thirty-five thousand, two hundred".