14768718240000 has 1440 divisors, whose sum is σ = 53552009871360. Its totient is φ = 3599769600000.

The previous prime is 14768718239923. The next prime is 14768718240011. The reversal of 14768718240000 is 4281786741.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 159 ways as a sum of consecutive naturals, for example, 47487839845 + ... + 47487840155.

It is an arithmetic number, because the mean of its divisors is an integer number (37188895744).

Almost surely, 2^{14768718240000} is an apocalyptic number.

14768718240000 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 14768718240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26776004935680).

14768718240000 is an abundant number, since it is smaller than the sum of its proper divisors (38783291631360).

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

14768718240000 is a wasteful number, since it uses less digits than its factorization.

14768718240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 14768718240000 in words is "fourteen trillion, seven hundred sixty-eight billion, seven hundred eighteen million, two hundred forty thousand".