1047216568896 has 315 divisors, whose sum is σ = 3169605241803. Its totient is φ = 341876090880.

The previous prime is 1047216568891. The next prime is 1047216568919. The reversal of 1047216568896 is 6988656127401.

The square root of 1047216568896 is 1023336.

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

1047216568896 is a `hidden beast` number, since 1 + 0 + 47 + 21 + 6 + 568 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 664877160000 + 382339408896 = 815400^2 + 618336^2 .

It is not an unprimeable number, because it can be changed into a prime (1047216568891) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4494491596 + ... + 4494491828.

Almost surely, 2^{1047216568896} is an apocalyptic number.

1047216568896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1047216568896 is the 1023336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1047216568896

1047216568896 is an abundant number, since it is smaller than the sum of its proper divisors (2122388672907).

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

1047216568896 is an frugal number, since it uses more digits than its factorization.

1047216568896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 1047216568896 in words is "one trillion, forty-seven billion, two hundred sixteen million, five hundred sixty-eight thousand, eight hundred ninety-six".