1002817982464 has 39 divisors (see below), whose sum is σ = 2005519309087. Its totient is φ = 501376946176.

The previous prime is 1002817982429. The next prime is 1002817982473. The reversal of 1002817982464 is 4642897182001.

The square root of 1002817982464 is 1001408.

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

It is a super-3 number, since 3×1002817982464³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 64082289 + ... + 64097935.

Almost surely, 2^{1002817982464} is an apocalyptic number.

1002817982464 is the 1001408-th square number.

It is an amenable number.

1002817982464 is a deficient number, since it is larger than the sum of its proper divisors (1002701326623).

1002817982464 is an frugal number, since it uses more digits than its factorization.

1002817982464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31318 (or 15649 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

It can be divided in two parts, 1002817 and 982464, that added together give a square (1985281 = 1409²).

The spelling of 1002817982464 in words is "one trillion, two billion, eight hundred seventeen million, nine hundred eighty-two thousand, four hundred sixty-four".