3113450154144 has 240 divisors, whose sum is σ = 10082350799136. Its totient is φ = 934651353600.

The previous prime is 3113450154107. The next prime is 3113450154149. The reversal of 3113450154144 is 4414510543113.

3113450154144 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 4 + 501 + 5 + 4 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3113450154099 and 3113450154108.

It is not an unprimeable number, because it can be changed into a prime (3113450154149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2540514 + ... + 3561054.

Almost surely, 2^{3113450154144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113450154144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041175399568).

3113450154144 is an abundant number, since it is smaller than the sum of its proper divisors (6968900644992).

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

3113450154144 is a wasteful number, since it uses less digits than its factorization.

3113450154144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020681 (or 1020664 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 3113450154144 its reverse (4414510543113), we get a palindrome (7527960697257).

The spelling of 3113450154144 in words is "three trillion, one hundred thirteen billion, four hundred fifty million, one hundred fifty-four thousand, one hundred forty-four".