14865240216000 has 896 divisors, whose sum is σ = 54830993817600. Its totient is φ = 3531118694400.

The previous prime is 14865240215971. The next prime is 14865240216031. The reversal of 14865240216000 is 61204256841.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14865240216000.

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 127 ways as a sum of consecutive naturals, for example, 618779989 + ... + 618804011.

It is an arithmetic number, because the mean of its divisors is an integer number (61195305600).

Almost surely, 2^{14865240216000} is an apocalyptic number.

14865240216000 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 14865240216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27415496908800).

14865240216000 is an abundant number, since it is smaller than the sum of its proper divisors (39965753601600).

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

14865240216000 is a wasteful number, since it uses less digits than its factorization.

14865240216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24154 (or 24134 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 14865240216000 in words is "fourteen trillion, eight hundred sixty-five billion, two hundred forty million, two hundred sixteen thousand".