48147004800 has 384 divisors, whose sum is σ = 180978967200. Its totient is φ = 12491366400.

The previous prime is 48147004783. The next prime is 48147004877. The reversal of 48147004800 is 840074184.

It is a happy number.

48147004800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×48147004800² (a number of 22 digits) contains 22 as substring.

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

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, 3189270 + ... + 3204330.

Almost surely, 2^48147004800 is an apocalyptic number.

48147004800 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 48147004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90489483600).

48147004800 is an abundant number, since it is smaller than the sum of its proper divisors (132831962400).

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

48147004800 is a wasteful number, since it uses less digits than its factorization.

48147004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15131 (or 15108 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

Adding to 48147004800 its reverse (840074184), we get a palindrome (48987078984).

The spelling of 48147004800 in words is "forty-eight billion, one hundred forty-seven million, four thousand, eight hundred".