13823676765340 has 96 divisors (see below), whose sum is σ = 32625354254976. Its totient is φ = 4881710423040.

The previous prime is 13823676765299. The next prime is 13823676765397. The reversal of 13823676765340 is 4356767632831.

13823676765340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61200210 + ... + 61425670.

It is an arithmetic number, because the mean of its divisors is an integer number (339847440156).

Almost surely, 2^{13823676765340} is an apocalyptic number.

13823676765340 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 13823676765340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16312677127488).

13823676765340 is an abundant number, since it is smaller than the sum of its proper divisors (18801677489636).

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

13823676765340 is a wasteful number, since it uses less digits than its factorization.

13823676765340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235759 (or 235757 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 61.

The spelling of 13823676765340 in words is "thirteen trillion, eight hundred twenty-three billion, six hundred seventy-six million, seven hundred sixty-five thousand, three hundred forty".