1144234354431 has 64 divisors (see below), whose sum is σ = 1807463936000. Its totient is φ = 643472188128.

The previous prime is 1144234354429. The next prime is 1144234354441. The reversal of 1144234354431 is 1344534324411.

It is a happy number.

It is not a de Polignac number, because 1144234354431 - 2¹ = 1144234354429 is a prime.

It is a super-2 number, since 2×1144234354431² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1144234354431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144234354441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77415600 + ... + 77430378.

It is an arithmetic number, because the mean of its divisors is an integer number (28241624000).

Almost surely, 2^{1144234354431} is an apocalyptic number.

1144234354431 is a deficient number, since it is larger than the sum of its proper divisors (663229581569).

1144234354431 is a wasteful number, since it uses less digits than its factorization.

1144234354431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15993 (or 15979 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

Adding to 1144234354431 its reverse (1344534324411), we get a palindrome (2488768678842).

The spelling of 1144234354431 in words is "one trillion, one hundred forty-four billion, two hundred thirty-four million, three hundred fifty-four thousand, four hundred thirty-one".