14355541120 has 128 divisors (see below), whose sum is σ = 34930414080. Its totient is φ = 5640499200.

The previous prime is 14355541097. The next prime is 14355541121. The reversal of 14355541120 is 2114555341.

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

It is not an unprimeable number, because it can be changed into a prime (14355541121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19584274 + ... + 19585006.

It is an arithmetic number, because the mean of its divisors is an integer number (272893860).

Almost surely, 2^14355541120 is an apocalyptic number.

14355541120 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 14355541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17465207040).

14355541120 is an abundant number, since it is smaller than the sum of its proper divisors (20574872960).

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

14355541120 is an equidigital number, since it uses as much as digits as its factorization.

14355541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 14355541120 in words is "fourteen billion, three hundred fifty-five million, five hundred forty-one thousand, one hundred twenty".