1338882724201 has 27 divisors (see below), whose sum is σ = 1513046390583. Its totient is φ = 1183853175120.

The previous prime is 1338882724199. The next prime is 1338882724213. The reversal of 1338882724201 is 1024272888331.

The square root of 1338882724201 is 1157101.

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., 1198050648025 + 140832076176 = 1094555^2 + 375276^2 .

It is not a de Polignac number, because 1338882724201 - 2¹ = 1338882724199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1338882724001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 470938686 + ... + 470941528.

Almost surely, 2^{1338882724201} is an apocalyptic number.

1338882724201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1338882724201 is the 1157101-st square number.

1338882724201 is the 578551-st centered octagonal number.

It is an amenable number.

1338882724201 is a deficient number, since it is larger than the sum of its proper divisors (174163666382).

1338882724201 is an frugal number, since it uses more digits than its factorization.

1338882724201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5782 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

Multiplying 1338882724201 by its sum of digits (49), we get a square (65605253485849 = 8099707²).

The spelling of 1338882724201 in words is "one trillion, three hundred thirty-eight billion, eight hundred eighty-two million, seven hundred twenty-four thousand, two hundred one".