14345525120 has 128 divisors (see below), whose sum is σ = 35592696000. Its totient is φ = 5522341888.

The previous prime is 14345525113. The next prime is 14345525143. The reversal of 14345525120 is 2152554341.

14345525120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6661964 + ... + 6664116.

Almost surely, 2^14345525120 is an apocalyptic number.

14345525120 is a gapful number since it is divisible by the number (10) 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 14345525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17796348000).

14345525120 is an abundant number, since it is smaller than the sum of its proper divisors (21247170880).

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

14345525120 is a wasteful number, since it uses less digits than its factorization.

14345525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 14345525120 in words is "fourteen billion, three hundred forty-five million, five hundred twenty-five thousand, one hundred twenty".