13705366709776 has 135 divisors (see below), whose sum is σ = 31201231444551. Its totient is φ = 5815043281152.

The previous prime is 13705366709759. The next prime is 13705366709861. The reversal of 13705366709776 is 67790766350731.

The square root of 13705366709776 is 3702076.

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 1881231696400 + 11824135013376 = 1371580^2 + 3438624^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11298735346 + ... + 11298736558.

Almost surely, 2^{13705366709776} is an apocalyptic number.

13705366709776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13705366709776 is the 3702076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13705366709776

13705366709776 is an abundant number, since it is smaller than the sum of its proper divisors (17495864734775).

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

13705366709776 is an frugal number, since it uses more digits than its factorization.

13705366709776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 210039480, while the sum is 67.

The spelling of 13705366709776 in words is "thirteen trillion, seven hundred five billion, three hundred sixty-six million, seven hundred nine thousand, seven hundred seventy-six".