13644723840 has 512 divisors, whose sum is σ = 51349248000. Its totient is φ = 3045703680.

The previous prime is 13644723823. The next prime is 13644723853. The reversal of 13644723840 is 4832744631.

It is a junction number, because it is equal to n+sod(n) for n = 13644723792 and 13644723801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14846901 + ... + 14847819.

It is an arithmetic number, because the mean of its divisors is an integer number (100291500).

Almost surely, 2^13644723840 is an apocalyptic number.

13644723840 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 13644723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25674624000).

13644723840 is an abundant number, since it is smaller than the sum of its proper divisors (37704524160).

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

13644723840 is a wasteful number, since it uses less digits than its factorization.

13644723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 13644723840 in words is "thirteen billion, six hundred forty-four million, seven hundred twenty-three thousand, eight hundred forty".