13860654540100 has 27 divisors (see below), whose sum is σ = 30077701141117. Its totient is φ = 5544246924080.

The previous prime is 13860654540037. The next prime is 13860654540101. The reversal of 13860654540100 is 104545606831.

The square root of 13860654540100 is 3722990.

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., 4989835634436 + 8870818905664 = 2233794^2 + 2978392^2 .

It is a super-3 number, since 3×13860654540100³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13860654540101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37043751 + ... + 37416049.

Almost surely, 2^{13860654540100} is an apocalyptic number.

13860654540100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13860654540100 is the 3722990-th square number.

It is an amenable number.

13860654540100 is an abundant number, since it is smaller than the sum of its proper divisors (16217046601017).

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

13860654540100 is an frugal number, since it uses more digits than its factorization.

13860654540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744612 (or 372306 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 13860654540100 in words is "thirteen trillion, eight hundred sixty billion, six hundred fifty-four million, five hundred forty thousand, one hundred".