14460000048 has 240 divisors, whose sum is σ = 44865815904. Its totient is φ = 4319170560.

The previous prime is 14460000013. The next prime is 14460000143. The reversal of 14460000048 is 84000006441.

14460000048 is a `hidden beast` number, since 14 + 4 + 600 + 0 + 0 + 0 + 48 = 666.

14460000048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14459999976 and 14460000030.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22488015 + ... + 22488657.

Almost surely, 2^14460000048 is an apocalyptic number.

14460000048 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 14460000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22432907952).

14460000048 is an abundant number, since it is smaller than the sum of its proper divisors (30405815856).

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

14460000048 is a wasteful number, since it uses less digits than its factorization.

14460000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14460000048 its reverse (84000006441), we get a palindrome (98460006489).

The spelling of 14460000048 in words is "fourteen billion, four hundred sixty million, forty-eight", and thus it is an aban number.