1358706816 has 96 divisors (see below), whose sum is σ = 3938816700. Its totient is φ = 449544192.

The previous prime is 1358706809. The next prime is 1358706821. The reversal of 1358706816 is 6186078531.

1358706816 is a `hidden beast` number, since 1 + 3 + 587 + 0 + 68 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1346596416 + 12110400 = 36696^2 + 3480^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153520 + ... + 162128.

Almost surely, 2^1358706816 is an apocalyptic number.

1358706816 is a gapful number since it is divisible by the number (16) 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 1358706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969408350).

1358706816 is an abundant number, since it is smaller than the sum of its proper divisors (2580109884).

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

1358706816 is a wasteful number, since it uses less digits than its factorization.

1358706816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8766 (or 8751 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1358706816 is about 36860.6404719180. The cubic root of 1358706816 is about 1107.5803734471.

The spelling of 1358706816 in words is "one billion, three hundred fifty-eight million, seven hundred six thousand, eight hundred sixteen".