13800088233409 has 9 divisors (see below), whose sum is σ = 13851120719331. Its totient is φ = 13749243122520.

The previous prime is 13800088233317. The next prime is 13800088233473. The reversal of 13800088233409 is 90433288000831.

The square root of 13800088233409 is 3714847.

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., 2378581330225 + 11421506903184 = 1542265^2 + 3379572^2 .

It is not a de Polignac number, because 13800088233409 - 2⁹ = 13800088232897 is a prime.

It is a super-3 number, since 3×13800088233409³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13800088233499) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1029005914 + ... + 1029019324.

It is an arithmetic number, because the mean of its divisors is an integer number (1539013413259).

Almost surely, 2^{13800088233409} is an apocalyptic number.

13800088233409 is the 3714847-th square number.

13800088233409 is the 1857424-th centered octagonal number.

It is an amenable number.

13800088233409 is a deficient number, since it is larger than the sum of its proper divisors (51032485922).

13800088233409 is an frugal number, since it uses more digits than its factorization.

13800088233409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27376 (or 13688 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

Multiplying 13800088233409 by its sum of digits (49), we get a square (676204323437041 = 26003929²).

The spelling of 13800088233409 in words is "thirteen trillion, eight hundred billion, eighty-eight million, two hundred thirty-three thousand, four hundred nine".