1065717616896 has 405 divisors, whose sum is σ = 3256345010919. Its totient is φ = 346666687488.

The previous prime is 1065717616819. The next prime is 1065717616919. The reversal of 1065717616896 is 6986167175601.

The square root of 1065717616896 is 1032336.

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

1065717616896 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 7 + 1 + 7 + 616 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×1065717616896² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9959977675 + ... + 9959977781.

Almost surely, 2^{1065717616896} is an apocalyptic number.

1065717616896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1065717616896 is the 1032336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1065717616896

1065717616896 is an abundant number, since it is smaller than the sum of its proper divisors (2190627394023).

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

1065717616896 is an frugal number, since it uses more digits than its factorization.

1065717616896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 1065717616896 in words is "one trillion, sixty-five billion, seven hundred seventeen million, six hundred sixteen thousand, eight hundred ninety-six".