206133226464 has 192 divisors, whose sum is σ = 600771209472. Its totient is φ = 61876728320.

The previous prime is 206133226457. The next prime is 206133226493. The reversal of 206133226464 is 464622331602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13664494 + ... + 13679570.

It is an arithmetic number, because the mean of its divisors is an integer number (3129016716).

Almost surely, 2^206133226464 is an apocalyptic number.

206133226464 is a gapful number since it is divisible by the number (24) 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 206133226464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300385604736).

206133226464 is an abundant number, since it is smaller than the sum of its proper divisors (394637983008).

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

206133226464 is a wasteful number, since it uses less digits than its factorization.

206133226464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15230 (or 15200 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 206133226464 in words is "two hundred six billion, one hundred thirty-three million, two hundred twenty-six thousand, four hundred sixty-four".