14314460160 has 1408 divisors, whose sum is σ = 66028032000. Its totient is φ = 2601123840.

The previous prime is 14314460119. The next prime is 14314460197. The reversal of 14314460160 is 6106441341.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 753392631 + ... + 753392649.

Almost surely, 2^14314460160 is an apocalyptic number.

14314460160 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 14314460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33014016000).

14314460160 is an abundant number, since it is smaller than the sum of its proper divisors (51713571840).

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

14314460160 is a wasteful number, since it uses less digits than its factorization.

14314460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

It can be divided in two parts, 14314 and 460160, that added together give a palindrome (474474).

The spelling of 14314460160 in words is "fourteen billion, three hundred fourteen million, four hundred sixty thousand, one hundred sixty".