14500536564360 has 1152 divisors, whose sum is σ = 59008805856000. Its totient is φ = 2830353039360.

The previous prime is 14500536564337. The next prime is 14500536564383. The reversal of 14500536564360 is 6346563500541.

It is an interprime number because it is at equal distance from previous prime (14500536564337) and next prime (14500536564383).

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 287 ways as a sum of consecutive naturals, for example, 9301177261 + ... + 9301178819.

It is an arithmetic number, because the mean of its divisors is an integer number (51222921750).

Almost surely, 2^{14500536564360} is an apocalyptic number.

14500536564360 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 14500536564360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29504402928000).

14500536564360 is an abundant number, since it is smaller than the sum of its proper divisors (44508269291640).

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

14500536564360 is a wasteful number, since it uses less digits than its factorization.

14500536564360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 14500536564360 in words is "fourteen trillion, five hundred billion, five hundred thirty-six million, five hundred sixty-four thousand, three hundred sixty".