14484952152000 has 1344 divisors, whose sum is σ = 58546550245248. Its totient is φ = 3388170240000.

The previous prime is 14484952151921. The next prime is 14484952152029. The reversal of 14484952152000 is 25125948441.

14484952152000 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 495 + 2 + 152 + 0 + 0 + 0 = 666.

14484952152000 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 2×14484952152000² (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 191 ways as a sum of consecutive naturals, for example, 2560533172 + ... + 2560538828.

Almost surely, 2^{14484952152000} is an apocalyptic number.

14484952152000 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 14484952152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29273275122624).

14484952152000 is an abundant number, since it is smaller than the sum of its proper divisors (44061598093248).

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

14484952152000 is a wasteful number, since it uses less digits than its factorization.

14484952152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5815 (or 5792 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 14484952152000 in words is "fourteen trillion, four hundred eighty-four billion, nine hundred fifty-two million, one hundred fifty-two thousand".