14153967004800 has 768 divisors, whose sum is σ = 58233609953280. Its totient is φ = 2946657484800.

The previous prime is 14153967004777. The next prime is 14153967004927. The reversal of 14153967004800 is 840076935141.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14153967004800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35214567 + ... + 35614233.

It is an arithmetic number, because the mean of its divisors is an integer number (75825012960).

Almost surely, 2^{14153967004800} is an apocalyptic number.

14153967004800 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 14153967004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29116804976640).

14153967004800 is an abundant number, since it is smaller than the sum of its proper divisors (44079642948480).

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

14153967004800 is a wasteful number, since it uses less digits than its factorization.

14153967004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399749 (or 399732 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 14153967004800 in words is "fourteen trillion, one hundred fifty-three billion, nine hundred sixty-seven million, four thousand, eight hundred".