1581146310744 has 640 divisors, whose sum is σ = 6067664064000. Its totient is φ = 379088398080.

The previous prime is 1581146310697. The next prime is 1581146310769. The reversal of 1581146310744 is 4470136411851.

1581146310744 is a `hidden beast` number, since 1 + 5 + 8 + 1 + 1 + 4 + 631 + 0 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1581146310744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31758879 + ... + 31808625.

It is an arithmetic number, because the mean of its divisors is an integer number (9480725100).

Almost surely, 2^{1581146310744} is an apocalyptic number.

1581146310744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1581146310744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033832032000).

1581146310744 is an abundant number, since it is smaller than the sum of its proper divisors (4486517753256).

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

1581146310744 is a wasteful number, since it uses less digits than its factorization.

1581146310744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49810 (or 49783 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1581146310744 in words is "one trillion, five hundred eighty-one billion, one hundred forty-six million, three hundred ten thousand, seven hundred forty-four".