1151444011005 has 24 divisors (see below), whose sum is σ = 1997083029240. Its totient is φ = 613719859200.

The previous prime is 1151444010961. The next prime is 1151444011019. The reversal of 1151444011005 is 5001104441511.

It is a happy number.

1151444011005 is a `hidden beast` number, since 1 + 1 + 514 + 4 + 40 + 1 + 100 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 844586732196 + 306857278809 = 919014^2 + 553947^2 .

It is not a de Polignac number, because 1151444011005 - 2²⁰ = 1151442962429 is a prime.

It is a super-3 number, since 3×1151444011005³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1151444011005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7919100 + ... + 8063189.

It is an arithmetic number, because the mean of its divisors is an integer number (83211792885).

Almost surely, 2^{1151444011005} is an apocalyptic number.

1151444011005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1151444011005 is a deficient number, since it is larger than the sum of its proper divisors (845639018235).

1151444011005 is a wasteful number, since it uses less digits than its factorization.

1151444011005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15983901 (or 15983898 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 1151444011005 its reverse (5001104441511), we get a palindrome (6152548452516).

The spelling of 1151444011005 in words is "one trillion, one hundred fifty-one billion, four hundred forty-four million, eleven thousand, five".