206849334114000 has 960 divisors, whose sum is σ = 746377908756480. Its totient is φ = 53362011340800.

The previous prime is 206849334113993. The next prime is 206849334114023. The reversal of 206849334114000 is 411433948602.

206849334114000 is a `hidden beast` number, since 2 + 0 + 6 + 84 + 93 + 341 + 140 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117594845121 + ... + 117594846879.

It is an arithmetic number, because the mean of its divisors is an integer number (777476988288).

Almost surely, 2^{206849334114000} is an apocalyptic number.

206849334114000 is a gapful number since it is divisible by the number (20) 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 206849334114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373188954378240).

206849334114000 is an abundant number, since it is smaller than the sum of its proper divisors (539528574642480).

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

206849334114000 is a wasteful number, since it uses less digits than its factorization.

206849334114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 206849334114000 in words is "two hundred six trillion, eight hundred forty-nine billion, three hundred thirty-four million, one hundred fourteen thousand".