13733966664 has 480 divisors, whose sum is σ = 45735386400. Its totient is φ = 3816529920.

The previous prime is 13733966627. The next prime is 13733966683. The reversal of 13733966664 is 46666933731.

13733966664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13733966664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 121539472 + ... + 121539584.

It is an arithmetic number, because the mean of its divisors is an integer number (95282055).

Almost surely, 2^13733966664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13733966664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22867693200).

13733966664 is an abundant number, since it is smaller than the sum of its proper divisors (32001419736).

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

13733966664 is a wasteful number, since it uses less digits than its factorization.

13733966664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 205 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 54.

The spelling of 13733966664 in words is "thirteen billion, seven hundred thirty-three million, nine hundred sixty-six thousand, six hundred sixty-four".