1238350547344 has 135 divisors (see below), whose sum is σ = 2524653980163. Its totient is φ = 588419375616.

The previous prime is 1238350547341. The next prime is 1238350547359. The reversal of 1238350547344 is 4437450538321.

The square root of 1238350547344 is 1112812.

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 308900300944 + 929450246400 = 555788^2 + 964080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1238350547341) 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, 12022820797 + ... + 12022820899.

Almost surely, 2^{1238350547344} is an apocalyptic number.

1238350547344 is the 1112812-nd square number.

It is an amenable number.

1238350547344 is an abundant number, since it is smaller than the sum of its proper divisors (1286303432819).

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

1238350547344 is an frugal number, since it uses more digits than its factorization.

1238350547344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 49.

Multiplying 1238350547344 by its sum of digits (49), we get a square (60679176819856 = 7789684²).

The spelling of 1238350547344 in words is "one trillion, two hundred thirty-eight billion, three hundred fifty million, five hundred forty-seven thousand, three hundred forty-four".