14145461120 has 384 divisors, whose sum is σ = 41199399360. Its totient is φ = 4626284544.

The previous prime is 14145461053. The next prime is 14145461123. The reversal of 14145461120 is 2116454141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14145461123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84703277 + ... + 84703443.

Almost surely, 2^14145461120 is an apocalyptic number.

14145461120 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 14145461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20599699680).

14145461120 is an abundant number, since it is smaller than the sum of its proper divisors (27053938240).

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

14145461120 is a wasteful number, since it uses less digits than its factorization.

14145461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 14145461120 in words is "fourteen billion, one hundred forty-five million, four hundred sixty-one thousand, one hundred twenty".