1838993649025 has 81 divisors (see below), whose sum is σ = 2555276790267. Its totient is φ = 1312266009600.

The previous prime is 1838993649019. The next prime is 1838993649047. The reversal of 1838993649025 is 5209463998381.

The square root of 1838993649025 is 1356095.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1828247424129 + 10746224896 = 1352127^2 + 103664^2 .

It is not a de Polignac number, because 1838993649025 - 2⁵ = 1838993648993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2732531089 + ... + 2732531761.

Almost surely, 2^{1838993649025} is an apocalyptic number.

1838993649025 is the 1356095-th square number.

1838993649025 is the 678048-th centered octagonal number.

It is an amenable number.

1838993649025 is a deficient number, since it is larger than the sum of its proper divisors (716283141242).

1838993649025 is an frugal number, since it uses more digits than its factorization.

1838993649025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 67.

The spelling of 1838993649025 in words is "one trillion, eight hundred thirty-eight billion, nine hundred ninety-three million, six hundred forty-nine thousand, twenty-five".