3144409093056 has 1008 divisors, whose sum is σ = 11800432657152. Its totient is φ = 728082432000.

The previous prime is 3144409093043. The next prime is 3144409093057. The reversal of 3144409093056 is 6503909044413.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3144409092996 and 3144409093014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144409093057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 635103381 + ... + 635108331.

Almost surely, 2^{3144409093056} 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 3144409093056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5900216328576).

3144409093056 is an abundant number, since it is smaller than the sum of its proper divisors (8656023564096).

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

3144409093056 is a wasteful number, since it uses less digits than its factorization.

3144409093056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 3144409093056 in words is "three trillion, one hundred forty-four billion, four hundred nine million, ninety-three thousand, fifty-six".