48444832800 has 432 divisors, whose sum is σ = 210253417920. Its totient is φ = 10221189120.

The previous prime is 48444832759. The next prime is 48444832837. The reversal of 48444832800 is 823844484.

It is a super-3 number, since 3×48444832800³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 618231 + ... + 692169.

Almost surely, 2^48444832800 is an apocalyptic number.

48444832800 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 48444832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105126708960).

48444832800 is an abundant number, since it is smaller than the sum of its proper divisors (161808585120).

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

48444832800 is a wasteful number, since it uses less digits than its factorization.

48444832800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73985 (or 73969 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 48444832800 in words is "forty-eight billion, four hundred forty-four million, eight hundred thirty-two thousand, eight hundred".