1581784946064 has 160 divisors (see below), whose sum is σ = 4583717635200. Its totient is φ = 522224340480.

The previous prime is 1581784946057. The next prime is 1581784946069. The reversal of 1581784946064 is 4606494871851.

1581784946064 is a `hidden beast` number, since 1 + 5 + 8 + 1 + 78 + 49 + 460 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1581784945992 and 1581784946010.

It is not an unprimeable number, because it can be changed into a prime (1581784946069) 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 31 ways as a sum of consecutive naturals, for example, 171536974 + ... + 171546194.

It is an arithmetic number, because the mean of its divisors is an integer number (28648235220).

Almost surely, 2^{1581784946064} 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 1581784946064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291858817600).

1581784946064 is an abundant number, since it is smaller than the sum of its proper divisors (3001932689136).

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

1581784946064 is a wasteful number, since it uses less digits than its factorization.

1581784946064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12990 (or 12978 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 1581784946064 in words is "one trillion, five hundred eighty-one billion, seven hundred eighty-four million, nine hundred forty-six thousand, sixty-four".