206661145153536 has 416 divisors, whose sum is σ = 648586603123200. Its totient is φ = 64803160719360.

The previous prime is 206661145153499. The next prime is 206661145153543. The reversal of 206661145153536 is 635351541166602.

It is a super-2 number, since 2×206661145153536² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4002630441 + ... + 4002682071.

Almost surely, 2^{206661145153536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206661145153536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324293301561600).

206661145153536 is an abundant number, since it is smaller than the sum of its proper divisors (441925457969664).

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

206661145153536 is a wasteful number, since it uses less digits than its factorization.

206661145153536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53810 (or 53782 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 206661145153536 in words is "two hundred six trillion, six hundred sixty-one billion, one hundred forty-five million, one hundred fifty-three thousand, five hundred thirty-six".