48037144800 has 288 divisors, whose sum is σ = 167431471200. Its totient is φ = 11920015360.

The previous prime is 48037144781. The next prime is 48037144811. The reversal of 48037144800 is 844173084.

48037144800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 3624586 + ... + 3637814.

It is an arithmetic number, because the mean of its divisors is an integer number (581359275).

Almost surely, 2^48037144800 is an apocalyptic number.

48037144800 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 48037144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83715735600).

48037144800 is an abundant number, since it is smaller than the sum of its proper divisors (119394326400).

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

48037144800 is a wasteful number, since it uses less digits than its factorization.

48037144800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13358 (or 13345 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 48037144800 in words is "forty-eight billion, thirty-seven million, one hundred forty-four thousand, eight hundred".