13723955784 has 192 divisors, whose sum is σ = 46455776640. Its totient is φ = 3555809280.

The previous prime is 13723955753. The next prime is 13723955831. The reversal of 13723955784 is 48755932731.

13723955784 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 3 + 9 + 557 + 84 = 666.

It is a super-2 number, since 2×13723955784² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13723955784.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2397694 + ... + 2403410.

It is an arithmetic number, because the mean of its divisors is an integer number (241957170).

Almost surely, 2^13723955784 is an apocalyptic number.

13723955784 is a gapful number since it is divisible by the number (14) 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 13723955784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23227888320).

13723955784 is an abundant number, since it is smaller than the sum of its proper divisors (32731820856).

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

13723955784 is a wasteful number, since it uses less digits than its factorization.

13723955784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6180 (or 6173 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 13723955784 in words is "thirteen billion, seven hundred twenty-three million, nine hundred fifty-five thousand, seven hundred eighty-four".