14578068960 has 960 divisors, whose sum is σ = 64914296832. Its totient is φ = 2998923264.

The previous prime is 14578068949. The next prime is 14578068977. The reversal of 14578068960 is 6986087541.

14578068960 is a `hidden beast` number, since 1 + 4 + 578 + 0 + 6 + 8 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14578068897 and 14578068906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 55429789 + ... + 55430051.

Almost surely, 2^14578068960 is an apocalyptic number.

14578068960 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 14578068960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32457148416).

14578068960 is an abundant number, since it is smaller than the sum of its proper divisors (50336227872).

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

14578068960 is a wasteful number, since it uses less digits than its factorization.

14578068960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 14578068960 in words is "fourteen billion, five hundred seventy-eight million, sixty-eight thousand, nine hundred sixty".