14161664000 has 384 divisors, whose sum is σ = 39739714560. Its totient is φ = 4993024000.

The previous prime is 14161663991. The next prime is 14161664009. The reversal of 14161664000 is 46616141.

It is an interprime number because it is at equal distance from previous prime (14161663991) and next prime (14161664009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14161664009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132351947 + ... + 132352053.

It is an arithmetic number, because the mean of its divisors is an integer number (103488840).

Almost surely, 2^14161664000 is an apocalyptic number.

14161664000 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 14161664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19869857280).

14161664000 is an abundant number, since it is smaller than the sum of its proper divisors (25578050560).

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

14161664000 is a wasteful number, since it uses less digits than its factorization.

14161664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 14161664000 in words is "fourteen billion, one hundred sixty-one million, six hundred sixty-four thousand".