1985974288516 has 27 divisors (see below), whose sum is σ = 3510037969893. Its totient is φ = 983202749280.

The previous prime is 1985974288457. The next prime is 1985974288517. The reversal of 1985974288516 is 6158824795891.

The square root of 1985974288516 is 1409246.

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., 1506888822916 + 479085465600 = 1227554^2 + 692160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1985974288517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 290301256 + ... + 290308096.

Almost surely, 2^{1985974288516} is an apocalyptic number.

1985974288516 is the 1409246-th square number.

It is an amenable number.

1985974288516 is a deficient number, since it is larger than the sum of its proper divisors (1524063681377).

1985974288516 is an frugal number, since it uses more digits than its factorization.

1985974288516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13892 (or 6946 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 73.

The spelling of 1985974288516 in words is "one trillion, nine hundred eighty-five billion, nine hundred seventy-four million, two hundred eighty-eight thousand, five hundred sixteen".