14643240480 has 192 divisors, whose sum is σ = 55910736000. Its totient is φ = 3549864960.

The previous prime is 14643240463. The next prime is 14643240497. The reversal of 14643240480 is 8404234641.

14643240480 is a `hidden beast` number, since 1 + 4 + 643 + 2 + 4 + 0 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14643240463) and next prime (14643240497).

It is a super-2 number, since 2×14643240480² (a number of 21 digits) contains 22 as substring.

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

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, 106555 + ... + 201594.

It is an arithmetic number, because the mean of its divisors is an integer number (291201750).

Almost surely, 2^14643240480 is an apocalyptic number.

14643240480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14643240480 is an abundant number, since it is smaller than the sum of its proper divisors (41267495520).

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

14643240480 is a wasteful number, since it uses less digits than its factorization.

14643240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308184 (or 308170 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 14643240480 in words is "fourteen billion, six hundred forty-three million, two hundred forty thousand, four hundred eighty".