14454086640 has 240 divisors, whose sum is σ = 52980314400. Its totient is φ = 3249469440.

The previous prime is 14454086561. The next prime is 14454086641. The reversal of 14454086640 is 4668045441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14454086592 and 14454086601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14454086641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707286 + ... + 727434.

It is an arithmetic number, because the mean of its divisors is an integer number (220751310).

Almost surely, 2^14454086640 is an apocalyptic number.

14454086640 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 14454086640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26490157200).

14454086640 is an abundant number, since it is smaller than the sum of its proper divisors (38526227760).

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

14454086640 is a wasteful number, since it uses less digits than its factorization.

14454086640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20240 (or 20227 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 14454086640 in words is "fourteen billion, four hundred fifty-four million, eighty-six thousand, six hundred forty".