1944136628329 has 27 divisors (see below), whose sum is σ = 2402609322693. Its totient is φ = 1568245273728.

The previous prime is 1944136628327. The next prime is 1944136628383. The reversal of 1944136628329 is 9238266314491.

The square root of 1944136628329 is 1394323.

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

It can be written as a sum of positive squares in 4 ways, for example, as 329966378329 + 1614170250000 = 574427^2 + 1270500^2 .

It is not a de Polignac number, because 1944136628329 - 2¹ = 1944136628327 is a prime.

It is a super-2 number, since 2×1944136628329² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1944136628327) 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, 165918579 + ... + 165930295.

Almost surely, 2^{1944136628329} is an apocalyptic number.

1944136628329 is the 1394323-rd square number.

1944136628329 is the 697162-nd centered octagonal number.

It is an amenable number.

1944136628329 is a deficient number, since it is larger than the sum of its proper divisors (458472694364).

1944136628329 is an frugal number, since it uses more digits than its factorization.

1944136628329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23482 (or 11741 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 58.

The spelling of 1944136628329 in words is "one trillion, nine hundred forty-four billion, one hundred thirty-six million, six hundred twenty-eight thousand, three hundred twenty-nine".