14545705075200 has 1440 divisors, whose sum is σ = 58062646699200. Its totient is φ = 3565026017280.

The previous prime is 14545705075177. The next prime is 14545705075273. The reversal of 14545705075200 is 257050754541.

14545705075200 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 5 + 70 + 50 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×14545705075200³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 19682956431 + ... + 19682957169.

It is an arithmetic number, because the mean of its divisors is an integer number (40321282430).

Almost surely, 2^{14545705075200} is an apocalyptic number.

14545705075200 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 14545705075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29031323349600).

14545705075200 is an abundant number, since it is smaller than the sum of its proper divisors (43516941624000).

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

14545705075200 is a wasteful number, since it uses less digits than its factorization.

14545705075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 980000, while the sum is 45.

The spelling of 14545705075200 in words is "fourteen trillion, five hundred forty-five billion, seven hundred five million, seventy-five thousand, two hundred".