1144334314004 has 48 divisors (see below), whose sum is σ = 2291251753728. Its totient is φ = 489875812608.

The previous prime is 1144334314003. The next prime is 1144334314031. The reversal of 1144334314004 is 4004134334411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144334314003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109427144 + ... + 109437600.

It is an arithmetic number, because the mean of its divisors is an integer number (47734411536).

Almost surely, 2^{1144334314004} is an apocalyptic number.

1144334314004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1144334314004 is an abundant number, since it is smaller than the sum of its proper divisors (1146917439724).

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

1144334314004 is a wasteful number, since it uses less digits than its factorization.

1144334314004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14504 (or 14502 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 1144334314004 its reverse (4004134334411), we get a palindrome (5148468648415).

The spelling of 1144334314004 in words is "one trillion, one hundred forty-four billion, three hundred thirty-four million, three hundred fourteen thousand, four".