14368112640 has 640 divisors, whose sum is σ = 60397920000. Its totient is φ = 3170893824.

The previous prime is 14368112639. The next prime is 14368112657. The reversal of 14368112640 is 4621186341.

14368112640 is a `hidden beast` number, since 1 + 4 + 3 + 6 + 8 + 1 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 14368112595 and 14368112604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495452146 + ... + 495452174.

It is an arithmetic number, because the mean of its divisors is an integer number (94371750).

Almost surely, 2^14368112640 is an apocalyptic number.

14368112640 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 14368112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30198960000).

14368112640 is an abundant number, since it is smaller than the sum of its proper divisors (46029807360).

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

14368112640 is an frugal number, since it uses more digits than its factorization.

14368112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 14368112640 its reverse (4621186341), we get a palindrome (18989298981).

The spelling of 14368112640 in words is "fourteen billion, three hundred sixty-eight million, one hundred twelve thousand, six hundred forty".