1009639116864 has 189 divisors, whose sum is σ = 3366992524701. Its totient is φ = 288420088320.

The previous prime is 1009639116859. The next prime is 1009639116881. The reversal of 1009639116864 is 4686119369001.

It is a happy number.

The square root of 1009639116864 is 1004808.

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

1009639116864 is a `hidden beast` number, since 1 + 0 + 0 + 96 + 391 + 168 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27161676864 + 982477440000 = 164808^2 + 991200^2 .

It is a super-2 number, since 2×1009639116864² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1009639116864.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 168804754 + ... + 168810734.

Almost surely, 2^{1009639116864} is an apocalyptic number.

1009639116864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1009639116864 is the 1004808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009639116864

1009639116864 is an abundant number, since it is smaller than the sum of its proper divisors (2357353407837).

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

1009639116864 is an frugal number, since it uses more digits than its factorization.

1009639116864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11994 (or 5993 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1009639116864 in words is "one trillion, nine billion, six hundred thirty-nine million, one hundred sixteen thousand, eight hundred sixty-four".