3045158180064 has 864 divisors, whose sum is σ = 11770461900288. Its totient is φ = 725137920000.

The previous prime is 3045158180033. The next prime is 3045158180069. The reversal of 3045158180064 is 4600818515403.

3045158180064 is a `hidden beast` number, since 3 + 0 + 4 + 5 + 1 + 581 + 8 + 0 + 0 + 64 = 666.

It is a super-2 number, since 2×3045158180064² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3045158180069) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 565906654 + ... + 565912034.

It is an arithmetic number, because the mean of its divisors is an integer number (13623219792).

Almost surely, 2^{3045158180064} 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 3045158180064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885230950144).

3045158180064 is an abundant number, since it is smaller than the sum of its proper divisors (8725303720224).

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

3045158180064 is a wasteful number, since it uses less digits than its factorization.

3045158180064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5592 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 3045158180064 in words is "three trillion, forty-five billion, one hundred fifty-eight million, one hundred eighty thousand, sixty-four".