13734664200 has 72 divisors (see below), whose sum is σ = 46125586650. Its totient is φ = 3662576640.

The previous prime is 13734664183. The next prime is 13734664201. The reversal of 13734664200 is 246643731.

It is a happy number.

13734664200 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 4 + 6 + 642 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13280718564 + 453945636 = 115242^2 + 21306^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13734664201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3813385 + ... + 3816984.

Almost surely, 2^13734664200 is an apocalyptic number.

13734664200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13734664200 is an abundant number, since it is smaller than the sum of its proper divisors (32390922450).

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

13734664200 is a wasteful number, since it uses less digits than its factorization.

13734664200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7630391 (or 7630379 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13734664200 in words is "thirteen billion, seven hundred thirty-four million, six hundred sixty-four thousand, two hundred".