14486406480 has 480 divisors, whose sum is σ = 62487000576. Its totient is φ = 2923278336.

The previous prime is 14486406479. The next prime is 14486406481. The reversal of 14486406480 is 8460468441.

14486406480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14486406479) and next prime (14486406481).

It is a super-3 number, since 3×14486406480³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14486406481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1502154 + ... + 1511766.

Almost surely, 2^14486406480 is an apocalyptic number.

14486406480 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 14486406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31243500288).

14486406480 is an abundant number, since it is smaller than the sum of its proper divisors (48000594096).

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

14486406480 is a wasteful number, since it uses less digits than its factorization.

14486406480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9675 (or 9666 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 14486406480 in words is "fourteen billion, four hundred eighty-six million, four hundred six thousand, four hundred eighty".