206611166614512 has 320 divisors, whose sum is σ = 602449920737280. Its totient is φ = 60464693376000.

The previous prime is 206611166614483. The next prime is 206611166614529. The reversal of 206611166614512 is 215416661116602.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18202017637 + ... + 18202028987.

It is an arithmetic number, because the mean of its divisors is an integer number (1882656002304).

Almost surely, 2^{206611166614512} is an apocalyptic number.

206611166614512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206611166614512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301224960368640).

206611166614512 is an abundant number, since it is smaller than the sum of its proper divisors (395838754122768).

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

206611166614512 is a wasteful number, since it uses less digits than its factorization.

206611166614512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18252 (or 18246 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 206611166614512 in words is "two hundred six trillion, six hundred eleven billion, one hundred sixty-six million, six hundred fourteen thousand, five hundred twelve".