48488480400000 has 768 divisors, whose sum is σ = 168478936657920. Its totient is φ = 12331799040000.

The previous prime is 48488480399999. The next prime is 48488480400001. The reversal of 48488480400000 is 408488484.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48488480399999) and next prime (48488480400001).

It is a super-2 number, since 2×48488480400000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (48488480400001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10129197607 + ... + 10129202393.

It is an arithmetic number, because the mean of its divisors is an integer number (219373615440).

Almost surely, 2^{48488480400000} is an apocalyptic number.

48488480400000 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 48488480400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84239468328960).

48488480400000 is an abundant number, since it is smaller than the sum of its proper divisors (119990456257920).

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

48488480400000 is an equidigital number, since it uses as much as digits as its factorization.

48488480400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5219 (or 5187 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

Adding to 48488480400000 its reverse (408488484), we get a palindrome (48488888888484).

The spelling of 48488480400000 in words is "forty-eight trillion, four hundred eighty-eight billion, four hundred eighty million, four hundred thousand".