14213342160 has 560 divisors, whose sum is σ = 53085173760. Its totient is φ = 3527193600.

The previous prime is 14213342159. The next prime is 14213342161. The reversal of 14213342160 is 6124331241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14213342159) and next prime (14213342161).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14213342161) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 111916017 + ... + 111916143.

Almost surely, 2^14213342160 is an apocalyptic number.

14213342160 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 14213342160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26542586880).

14213342160 is an abundant number, since it is smaller than the sum of its proper divisors (38871831600).

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

14213342160 is a wasteful number, since it uses less digits than its factorization.

14213342160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 14213342160 in words is "fourteen billion, two hundred thirteen million, three hundred forty-two thousand, one hundred sixty".