14480769600 has 672 divisors, whose sum is σ = 59504762880. Its totient is φ = 3393792000.

The previous prime is 14480769593. The next prime is 14480769613. The reversal of 14480769600 is 696708441.

14480769600 is a `hidden beast` number, since 14 + 480 + 76 + 96 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14730709 + ... + 14731691.

Almost surely, 2^14480769600 is an apocalyptic number.

14480769600 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 14480769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29752381440).

14480769600 is an abundant number, since it is smaller than the sum of its proper divisors (45023993280).

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

14480769600 is a wasteful number, since it uses less digits than its factorization.

14480769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14480769600 in words is "fourteen billion, four hundred eighty million, seven hundred sixty-nine thousand, six hundred".