13240981881856 has 99 divisors (see below), whose sum is σ = 28121827605319. Its totient is φ = 6230118760448.

The previous prime is 13240981881779. The next prime is 13240981881871. The reversal of 13240981881856 is 65818818904231.

The square root of 13240981881856 is 3638816.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5003990041600 + 8236991840256 = 2236960^2 + 2870016^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1979512560 + ... + 1979519248.

Almost surely, 2^{13240981881856} is an apocalyptic number.

13240981881856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13240981881856 is the 3638816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13240981881856

13240981881856 is an abundant number, since it is smaller than the sum of its proper divisors (14880845723463).

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

13240981881856 is an frugal number, since it uses more digits than its factorization.

13240981881856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13432 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 64.

Multiplying 13240981881856 by its sum of digits (64), we get a square (847422840438784 = 29110528²).

13240981881856 divided by its sum of digits (64) gives a square (206890341904 = 454852²).

The spelling of 13240981881856 in words is "thirteen trillion, two hundred forty billion, nine hundred eighty-one million, eight hundred eighty-one thousand, eight hundred fifty-six".