14104748473200 has 4320 divisors, whose sum is σ = 68602329169920. Its totient is φ = 2715939072000.

The previous prime is 14104748473171. The next prime is 14104748473201. The reversal of 14104748473200 is 237484740141.

14104748473200 is a `hidden beast` number, since 1 + 4 + 10 + 474 + 84 + 73 + 20 + 0 = 666.

It is a super-2 number, since 2×14104748473200² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14104748473201) by changing a digit.

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 863 ways as a sum of consecutive naturals, for example, 111061011537 + ... + 111061011663.

Almost surely, 2^{14104748473200} is an apocalyptic number.

14104748473200 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 14104748473200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34301164584960).

14104748473200 is an abundant number, since it is smaller than the sum of its proper divisors (54497580696720).

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

14104748473200 is a wasteful number, since it uses less digits than its factorization.

14104748473200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 14104748473200 in words is "fourteen trillion, one hundred four billion, seven hundred forty-eight million, four hundred seventy-three thousand, two hundred".