14287328052480 has 2160 divisors, whose sum is σ = 62184044127744. Its totient is φ = 3119397765120.

The previous prime is 14287328052467. The next prime is 14287328052493. The reversal of 14287328052480 is 8425082378241.

It is a happy number.

14287328052480 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 7 + 32 + 8 + 0 + 524 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (14287328052467) and next prime (14287328052493).

It is a tau number, because it is divible by the number of its divisors (2160).

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

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 239 ways as a sum of consecutive naturals, for example, 13071662814 + ... + 13071663906.

Almost surely, 2^{14287328052480} is an apocalyptic number.

14287328052480 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 14287328052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31092022063872).

14287328052480 is an abundant number, since it is smaller than the sum of its proper divisors (47896716075264).

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

14287328052480 is a wasteful number, since it uses less digits than its factorization.

14287328052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 14287328052480 in words is "fourteen trillion, two hundred eighty-seven billion, three hundred twenty-eight million, fifty-two thousand, four hundred eighty".