14125316160 has 336 divisors, whose sum is σ = 47288598336. Its totient is φ = 3571200000.

The previous prime is 14125316123. The next prime is 14125316197. The reversal of 14125316160 is 6161352141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14125316123) and next prime (14125316197).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56276035 + ... + 56276285.

It is an arithmetic number, because the mean of its divisors is an integer number (140739876).

Almost surely, 2^14125316160 is an apocalyptic number.

14125316160 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 14125316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23644299168).

14125316160 is an abundant number, since it is smaller than the sum of its proper divisors (33163282176).

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

14125316160 is a wasteful number, since it uses less digits than its factorization.

14125316160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 14125316160 in words is "fourteen billion, one hundred twenty-five million, three hundred sixteen thousand, one hundred sixty".