1581336430144 has 21 divisors (see below), whose sum is σ = 3137984441697. Its totient is φ = 790663185024.

The previous prime is 1581336430133. The next prime is 1581336430183. The reversal of 1581336430144 is 4410346331851.

It is a happy number.

The square root of 1581336430144 is 1257512.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 805527790144 + 775808640000 = 897512^2 + 880800^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1581336430144.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 9981502 + ... + 10138690.

It is an arithmetic number, because the mean of its divisors is an integer number (149427830557).

Almost surely, 2^{1581336430144} is an apocalyptic number.

1581336430144 is the 1257512-nd square number.

It is an amenable number.

1581336430144 is a deficient number, since it is larger than the sum of its proper divisors (1556648011553).

1581336430144 is an frugal number, since it uses more digits than its factorization.

1581336430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314390 (or 157191 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 1581336430144 in words is "one trillion, five hundred eighty-one billion, three hundred thirty-six million, four hundred thirty thousand, one hundred forty-four".