206137271214 has 192 divisors, whose sum is σ = 556208640000. Its totient is φ = 55029602880.

The previous prime is 206137271201. The next prime is 206137271257. The reversal of 206137271214 is 412172731602.

206137271214 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 372 + 71 + 214 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5531857 + ... + 5568995.

It is an arithmetic number, because the mean of its divisors is an integer number (2896920000).

Almost surely, 2^206137271214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206137271214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278104320000).

206137271214 is an abundant number, since it is smaller than the sum of its proper divisors (350071368786).

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

206137271214 is a wasteful number, since it uses less digits than its factorization.

206137271214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37228 (or 37211 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 206137271214 in words is "two hundred six billion, one hundred thirty-seven million, two hundred seventy-one thousand, two hundred fourteen".