14668143840 has 576 divisors, whose sum is σ = 59730338304. Its totient is φ = 3207942144.

The previous prime is 14668143823. The next prime is 14668143857. The reversal of 14668143840 is 4834186641.

14668143840 is a `hidden beast` number, since 1 + 466 + 8 + 143 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (14668143823) and next prime (14668143857).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24988027 + ... + 24988613.

It is an arithmetic number, because the mean of its divisors is an integer number (103698504).

Almost surely, 2^14668143840 is an apocalyptic number.

14668143840 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 14668143840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29865169152).

14668143840 is an abundant number, since it is smaller than the sum of its proper divisors (45062194464).

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

14668143840 is a wasteful number, since it uses less digits than its factorization.

14668143840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 14668143840 in words is "fourteen billion, six hundred sixty-eight million, one hundred forty-three thousand, eight hundred forty".