14117464728000 has 2240 divisors, whose sum is σ = 56331816532992. Its totient is φ = 3483648000000.

The previous prime is 14117464727983. The next prime is 14117464728047. The reversal of 14117464728000 is 82746471141.

14117464728000 is a `hidden beast` number, since 1 + 4 + 1 + 174 + 6 + 472 + 8 + 0 + 0 + 0 = 666.

14117464728000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14117464728000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 50240087860 + ... + 50240088140.

Almost surely, 2^{14117464728000} is an apocalyptic number.

14117464728000 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 14117464728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28165908266496).

14117464728000 is an abundant number, since it is smaller than the sum of its proper divisors (42214351804992).

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

14117464728000 is a wasteful number, since it uses less digits than its factorization.

14117464728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 14117464728000 in words is "fourteen trillion, one hundred seventeen billion, four hundred sixty-four million, seven hundred twenty-eight thousand".