3145044344904 has 576 divisors, whose sum is σ = 11201290813440. Its totient is φ = 779375520000.

The previous prime is 3145044344843. The next prime is 3145044344909. The reversal of 3145044344904 is 4094434405413.

3145044344904 is a `hidden beast` number, since 3 + 14 + 504 + 4 + 3 + 44 + 90 + 4 = 666.

It is a super-5 number, since 5×3145044344904⁵ (a number of 64 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3145044344904.

It is not an unprimeable number, because it can be changed into a prime (3145044344909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134214069 + ... + 134237499.

It is an arithmetic number, because the mean of its divisors is an integer number (19446685440).

Almost surely, 2^{3145044344904} 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 3145044344904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600645406720).

3145044344904 is an abundant number, since it is smaller than the sum of its proper divisors (8056246468536).

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

3145044344904 is a wasteful number, since it uses less digits than its factorization.

3145044344904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23574 (or 23556 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 3145044344904 in words is "three trillion, one hundred forty-five billion, forty-four million, three hundred forty-four thousand, nine hundred four".