206933431152 has 240 divisors, whose sum is σ = 627590903040. Its totient is φ = 58752508416.

The previous prime is 206933431139. The next prime is 206933431189. The reversal of 206933431152 is 251134339602.

It is a self number, because there is not a number n which added to its sum of digits gives 206933431152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144405028 + ... + 144406460.

It is an arithmetic number, because the mean of its divisors is an integer number (2614962096).

Almost surely, 2^206933431152 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 206933431152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313795451520).

206933431152 is an abundant number, since it is smaller than the sum of its proper divisors (420657471888).

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

206933431152 is an equidigital number, since it uses as much as digits as its factorization.

206933431152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 206933431152 in words is "two hundred six billion, nine hundred thirty-three million, four hundred thirty-one thousand, one hundred fifty-two".