1581316310016 has 99 divisors (see below), whose sum is σ = 4566365132511. Its totient is φ = 527065196544.

The previous prime is 1581316309997. The next prime is 1581316310033. The reversal of 1581316310016 is 6100136131851.

The square root of 1581316310016 is 1257504.

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

1581316310016 is a `hidden beast` number, since 1 + 5 + 8 + 1 + 3 + 1 + 631 + 0 + 0 + 16 = 666.

It is a super-2 number, since 2×1581316310016² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 120713835 + ... + 120726933.

Almost surely, 2^{1581316310016} is an apocalyptic number.

1581316310016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1581316310016 is the 1257504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1581316310016

1581316310016 is an abundant number, since it is smaller than the sum of its proper divisors (2985048822495).

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

1581316310016 is an frugal number, since it uses more digits than its factorization.

1581316310016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26224 (or 13104 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 1581316310016 by its sum of digits (36), we get a square (56927387160576 = 7545024²).

1581316310016 divided by its sum of digits (36) gives a square (43925453056 = 209584²).

The spelling of 1581316310016 in words is "one trillion, five hundred eighty-one billion, three hundred sixteen million, three hundred ten thousand, sixteen".