13664940278544 has 45 divisors (see below), whose sum is σ = 38242977841159. Its totient is φ = 4554965306400.

The previous prime is 13664940278491. The next prime is 13664940278593. The reversal of 13664940278544 is 44587204946631.

The square root of 13664940278544 is 3696612.

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

13664940278544 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 49 + 40 + 2 + 7 + 8 + 544 = 666.

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, 44205319 + ... + 44513369.

It is a 1-persistent number, because it is pandigital, but 2⋅13664940278544 = 27329880557088 is not.

Almost surely, 2^{13664940278544} is an apocalyptic number.

13664940278544 is the 3696612-nd square number.

It is an amenable number.

13664940278544 is an abundant number, since it is smaller than the sum of its proper divisors (24578037562615).

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

13664940278544 is an frugal number, since it uses more digits than its factorization.

13664940278544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616116 (or 308056 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 13664940278544 in words is "thirteen trillion, six hundred sixty-four billion, nine hundred forty million, two hundred seventy-eight thousand, five hundred forty-four".