48444480000 has 1200 divisors, whose sum is σ = 209392223040. Its totient is φ = 10948608000.

The previous prime is 48444479969. The next prime is 48444480061. The reversal of 48444480000 is 8444484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×48444480000³ (a number of 33 digits) contains 333 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 544319956 + ... + 544320044.

Almost surely, 2^48444480000 is an apocalyptic number.

48444480000 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 48444480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104696111520).

48444480000 is an abundant number, since it is smaller than the sum of its proper divisors (160947743040).

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

48444480000 is an frugal number, since it uses more digits than its factorization.

48444480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

It can be divided in two parts, 4844 and 4480000, that added together give a palindrome (4484844).

The spelling of 48444480000 in words is "forty-eight billion, four hundred forty-four million, four hundred eighty thousand".