14820874068000 has 1536 divisors, whose sum is σ = 66954195689472. Its totient is φ = 2765850624000.

The previous prime is 14820874067929. The next prime is 14820874068017. The reversal of 14820874068000 is 86047802841.

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 255 ways as a sum of consecutive naturals, for example, 444427327 + ... + 444460673.

It is an arithmetic number, because the mean of its divisors is an integer number (43589971152).

Almost surely, 2^{14820874068000} is an apocalyptic number.

14820874068000 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 14820874068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33477097844736).

14820874068000 is an abundant number, since it is smaller than the sum of its proper divisors (52133321621472).

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

14820874068000 is a wasteful number, since it uses less digits than its factorization.

14820874068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33443 (or 33425 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 14820874068000 in words is "fourteen trillion, eight hundred twenty billion, eight hundred seventy-four million, sixty-eight thousand".