48048012000000 has 2268 divisors, whose sum is σ = 192286439483320. Its totient is φ = 11833113600000.

The previous prime is 48048011999993. The next prime is 48048012000011. The reversal of 48048012000000 is 21084084.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×48048012000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1656827999986 + ... + 1656828000014.

Almost surely, 2^{48048012000000} is an apocalyptic number.

48048012000000 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 48048012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96143219741660).

48048012000000 is an abundant number, since it is smaller than the sum of its proper divisors (144238427483320).

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

48048012000000 is an frugal number, since it uses more digits than its factorization.

48048012000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

48048012000000 divided by its sum of digits (27) gives a square (1779556000000 = 1334000²).

Adding to 48048012000000 its reverse (21084084), we get a palindrome (48048033084084).

The spelling of 48048012000000 in words is "forty-eight trillion, forty-eight billion, twelve million", and thus it is an aban number and an uban number.