13723727057152 has 144 divisors (see below), whose sum is σ = 32391514915200. Its totient is φ = 5677959168000.

The previous prime is 13723727057143. The next prime is 13723727057207. The reversal of 13723727057152 is 25175072732731.

It is a super-2 number, since 2×13723727057152² (a number of 27 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 13723727057152.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467749299 + ... + 467778637.

It is an arithmetic number, because the mean of its divisors is an integer number (224941075800).

Almost surely, 2^{13723727057152} 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 13723727057152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16195757457600).

13723727057152 is an abundant number, since it is smaller than the sum of its proper divisors (18667787858048).

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

13723727057152 is an equidigital number, since it uses as much as digits as its factorization.

13723727057152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38392 (or 38378 counting only the distinct ones).

The product of its (nonzero) digits is 4321800, while the sum is 52.

Adding to 13723727057152 its reverse (25175072732731), we get a palindrome (38898799789883).

The spelling of 13723727057152 in words is "thirteen trillion, seven hundred twenty-three billion, seven hundred twenty-seven million, fifty-seven thousand, one hundred fifty-two".