126024450048 has 1152 divisors, whose sum is σ = 489499264800. Its totient is φ = 32105299968.

The previous prime is 126024450023. The next prime is 126024450107. The reversal of 126024450048 is 840054420621.

126024450048 is a `hidden beast` number, since 1 + 2 + 602 + 4 + 4 + 5 + 0 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 126024449994 and 126024450021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6632865783 + ... + 6632865801.

Almost surely, 2^126024450048 is an apocalyptic number.

126024450048 is a gapful number since it is divisible by the number (18) 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 126024450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244749632400).

126024450048 is an abundant number, since it is smaller than the sum of its proper divisors (363474814752).

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

126024450048 is an frugal number, since it uses more digits than its factorization.

126024450048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 126024450048 its reverse (840054420621), we get a palindrome (966078870669).

The spelling of 126024450048 in words is "one hundred twenty-six billion, twenty-four million, four hundred fifty thousand, forty-eight".