48045739200 has 336 divisors, whose sum is σ = 160485978240. Its totient is φ = 12582420480.

The previous prime is 48045739129. The next prime is 48045739219. The reversal of 48045739200 is 293754084.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71390064 + ... + 71390736.

It is an arithmetic number, because the mean of its divisors is an integer number (477636840).

Almost surely, 2^48045739200 is an apocalyptic number.

48045739200 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 48045739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80242989120).

48045739200 is an abundant number, since it is smaller than the sum of its proper divisors (112440239040).

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

48045739200 is a wasteful number, since it uses less digits than its factorization.

48045739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 48045739200 in words is "forty-eight billion, forty-five million, seven hundred thirty-nine thousand, two hundred".