14936238928000 has 768 divisors, whose sum is σ = 41166056131200. Its totient is φ = 5385369600000.

The previous prime is 14936238927989. The next prime is 14936238928001. The reversal of 14936238928000 is 82983263941.

It is not an unprimeable number, because it can be changed into a prime (14936238928001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40043535814 + ... + 40043536186.

Almost surely, 2^{14936238928000} is an apocalyptic number.

14936238928000 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 14936238928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20583028065600).

14936238928000 is an abundant number, since it is smaller than the sum of its proper divisors (26229817203200).

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

14936238928000 is a wasteful number, since it uses less digits than its factorization.

14936238928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 14936238928000 in words is "fourteen trillion, nine hundred thirty-six billion, two hundred thirty-eight million, nine hundred twenty-eight thousand".