1005534431144 has 16 divisors (see below), whose sum is σ = 1885393041300. Its totient is φ = 502762953472.

The previous prime is 1005534431141. The next prime is 1005534431173. The reversal of 1005534431144 is 4411344355001.

1005534431144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 792402628900 + 213131802244 = 890170^2 + 461662^2 .

It is a super-2 number, since 2×1005534431144² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005534431141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 615494 + ... + 1545930.

Almost surely, 2^{1005534431144} is an apocalyptic number.

It is an amenable number.

1005534431144 is a deficient number, since it is larger than the sum of its proper divisors (879858610156).

1005534431144 is a wasteful number, since it uses less digits than its factorization.

1005534431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065532 (or 1065528 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 1005534431144 its reverse (4411344355001), we get a palindrome (5416878786145).

The spelling of 1005534431144 in words is "one trillion, five billion, five hundred thirty-four million, four hundred thirty-one thousand, one hundred forty-four".