1005623884864 has 63 divisors (see below), whose sum is σ = 2016754271157. Its totient is φ = 497521127424.

The previous prime is 1005623884861. The next prime is 1005623884931. The reversal of 1005623884864 is 4684883265001.

The square root of 1005623884864 is 1002808.

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

It can be written as a sum of positive squares in only one way, i.e., 337468046400 + 668155838464 = 580920^2 + 817408^2 .

It is a super-2 number, since 2×1005623884864² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005623884861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 826313184 + ... + 826314400.

Almost surely, 2^{1005623884864} is an apocalyptic number.

1005623884864 is the 1002808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005623884864

1005623884864 is an abundant number, since it is smaller than the sum of its proper divisors (1011130386293).

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

1005623884864 is an frugal number, since it uses more digits than its factorization.

1005623884864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 55.

The spelling of 1005623884864 in words is "one trillion, five billion, six hundred twenty-three million, eight hundred eighty-four thousand, eight hundred sixty-four".