13705677685924 has 27 divisors (see below), whose sum is σ = 27900949371393. Its totient is φ = 5873839652688.

The previous prime is 13705677685913. The next prime is 13705677685937. The reversal of 13705677685924 is 42958677650731.

The square root of 13705677685924 is 3702118.

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

It can be written as a sum of positive squares in only one way, i.e., 334720102500 + 13370957583424 = 578550^2 + 3656632^2 .

It is a super-3 number, since 3×13705677685924³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

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 8 ways as a sum of consecutive naturals, for example, 51697434 + ... + 51961870.

It is a 1-persistent number, because it is pandigital, but 2⋅13705677685924 = 27411355371848 is not.

Almost surely, 2^{13705677685924} is an apocalyptic number.

13705677685924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13705677685924 is the 3702118-th square number.

It is an amenable number.

13705677685924 is an abundant number, since it is smaller than the sum of its proper divisors (14195271685469).

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

13705677685924 is an frugal number, since it uses more digits than its factorization.

13705677685924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528892 (or 264446 counting only the distinct ones).

The product of its (nonzero) digits is 533433600, while the sum is 70.

The spelling of 13705677685924 in words is "thirteen trillion, seven hundred five billion, six hundred seventy-seven million, six hundred eighty-five thousand, nine hundred twenty-four".