13830749723900 has 288 divisors, whose sum is σ = 31686598594560. Its totient is φ = 5233683456000.

The previous prime is 13830749723881. The next prime is 13830749723953. The reversal of 13830749723900 is 932794703831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8871551321 + ... + 8871552879.

Almost surely, 2^{13830749723900} is an apocalyptic number.

13830749723900 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 13830749723900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15843299297280).

13830749723900 is an abundant number, since it is smaller than the sum of its proper divisors (17855848870660).

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

13830749723900 is a wasteful number, since it uses less digits than its factorization.

13830749723900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 56.

The spelling of 13830749723900 in words is "thirteen trillion, eight hundred thirty billion, seven hundred forty-nine million, seven hundred twenty-three thousand, nine hundred".