1984565292516 has 27 divisors (see below), whose sum is σ = 5016561411043. Its totient is φ = 661518946680.

The previous prime is 1984565292449. The next prime is 1984565292527. The reversal of 1984565292516 is 6152925654891.

The square root of 1984565292516 is 1408746.

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

1984565292516 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 56 + 529 + 2 + 51 + 6 = 666.

It is a super-2 number, since 2×1984565292516² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8335081 + ... + 8569871.

Almost surely, 2^{1984565292516} is an apocalyptic number.

1984565292516 is the 1408746-th square number.

It is an amenable number.

1984565292516 is an abundant number, since it is smaller than the sum of its proper divisors (3031996118527).

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

1984565292516 is an frugal number, since it uses more digits than its factorization.

1984565292516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469592 (or 234796 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 63.

It can be divided in two parts, 1984565 and 292516, that added together give a square (2277081 = 1509²).

The spelling of 1984565292516 in words is "one trillion, nine hundred eighty-four billion, five hundred sixty-five million, two hundred ninety-two thousand, five hundred sixteen".