14139648000 has 864 divisors, whose sum is σ = 56953358280. Its totient is φ = 3361996800.

The previous prime is 14139647947. The next prime is 14139648037. The reversal of 14139648000 is 84693141.

14139648000 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 9 + 648 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6151578624 + 7988069376 = 78432^2 + 89376^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 744191991 + ... + 744192009.

Almost surely, 2^14139648000 is an apocalyptic number.

14139648000 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 14139648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28476679140).

14139648000 is an abundant number, since it is smaller than the sum of its proper divisors (42813710280).

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

14139648000 is a wasteful number, since it uses less digits than its factorization.

14139648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 14139648000 in words is "fourteen billion, one hundred thirty-nine million, six hundred forty-eight thousand".