1216075206564 has 243 divisors, whose sum is σ = 3292101422337. Its totient is φ = 378466545600.

The previous prime is 1216075206553. The next prime is 1216075206569. The reversal of 1216075206564 is 4656025706121.

The square root of 1216075206564 is 1102758.

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

1216075206564 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 0 + 7 + 520 + 65 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39544504164 + 1176530702400 = 198858^2 + 1084680^2 .

It is not an unprimeable number, because it can be changed into a prime (1216075206569) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9283016779 + ... + 9283016909.

Almost surely, 2^{1216075206564} is an apocalyptic number.

1216075206564 is the 1102758-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216075206564

1216075206564 is an abundant number, since it is smaller than the sum of its proper divisors (2076026215773).

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

1216075206564 is a wasteful number, since it uses less digits than its factorization.

1216075206564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1216075206564 in words is "one trillion, two hundred sixteen billion, seventy-five million, two hundred six thousand, five hundred sixty-four".