1039983881616 has 135 divisors (see below), whose sum is σ = 3092406518721. Its totient is φ = 326204186112.

The previous prime is 1039983881581. The next prime is 1039983881663. The reversal of 1039983881616 is 6161883899301.

The square root of 1039983881616 is 1019796.

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

1039983881616 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 9 + 8 + 3 + 8 + 8 + 1 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 809676032400 + 230307849216 = 899820^2 + 479904^2 .

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, 208035885 + ... + 208040883.

Almost surely, 2^{1039983881616} is an apocalyptic number.

1039983881616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1039983881616 is the 1019796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1039983881616

1039983881616 is an abundant number, since it is smaller than the sum of its proper divisors (2052422637105).

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

1039983881616 is an frugal number, since it uses more digits than its factorization.

1039983881616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 1039983881616 in words is "one trillion, thirty-nine billion, nine hundred eighty-three million, eight hundred eighty-one thousand, six hundred sixteen".