14480182080 has 840 divisors, whose sum is σ = 64600778088. Its totient is φ = 3051675648.

The previous prime is 14480182051. The next prime is 14480182109. The reversal of 14480182080 is 8028108441.

It is a happy number.

14480182080 is a `hidden beast` number, since 1 + 448 + 0 + 1 + 8 + 208 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14480182051) and next prime (14480182109).

It can be written as a sum of positive squares in 4 ways, for example, as 1390991616 + 13089190464 = 37296^2 + 114408^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 16510602 + ... + 16511478.

Almost surely, 2^14480182080 is an apocalyptic number.

14480182080 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 14480182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32300389044).

14480182080 is an abundant number, since it is smaller than the sum of its proper divisors (50120596008).

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

14480182080 is a wasteful number, since it uses less digits than its factorization.

14480182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 14480182080 in words is "fourteen billion, four hundred eighty million, one hundred eighty-two thousand, eighty".