14321828160 has 448 divisors, whose sum is σ = 53841335040. Its totient is φ = 3571384320.

The previous prime is 14321828159. The next prime is 14321828207. The reversal of 14321828160 is 6182812341.

It is a super-2 number, since 2×14321828160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41273107 + ... + 41273453.

Almost surely, 2^14321828160 is an apocalyptic number.

14321828160 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 14321828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26920667520).

14321828160 is an abundant number, since it is smaller than the sum of its proper divisors (39519506880).

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

14321828160 is a wasteful number, since it uses less digits than its factorization.

14321828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 14321828160 in words is "fourteen billion, three hundred twenty-one million, eight hundred twenty-eight thousand, one hundred sixty".