14235129648 has 160 divisors (see below), whose sum is σ = 41613894080. Its totient is φ = 4658135040.

The previous prime is 14235129637. The next prime is 14235129659. The reversal of 14235129648 is 84692153241.

14235129648 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 512 + 96 + 48 = 666.

14235129648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14235129637) and next prime (14235129659).

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 31 ways as a sum of consecutive naturals, for example, 7599240 + ... + 7601112.

It is an arithmetic number, because the mean of its divisors is an integer number (260086838).

Almost surely, 2^14235129648 is an apocalyptic number.

14235129648 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 14235129648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20806947040).

14235129648 is an abundant number, since it is smaller than the sum of its proper divisors (27378764432).

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

14235129648 is a wasteful number, since it uses less digits than its factorization.

14235129648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2192 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 14235129648 in words is "fourteen billion, two hundred thirty-five million, one hundred twenty-nine thousand, six hundred forty-eight".