206158430016 has 896 divisors, whose sum is σ = 787529072640. Its totient is φ = 51321600000.

The previous prime is 206158429979. The next prime is 206158430017. The reversal of 206158430016 is 610034851602.

It is a happy number.

206158430016 is a `hidden beast` number, since 2 + 0 + 61 + 584 + 3 + 0 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206158430017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 622834971 + ... + 622835301.

Almost surely, 2^206158430016 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 206158430016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393764536320).

206158430016 is an abundant number, since it is smaller than the sum of its proper divisors (581370642624).

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

206158430016 is a wasteful number, since it uses less digits than its factorization.

206158430016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 206158430016 in words is "two hundred six billion, one hundred fifty-eight million, four hundred thirty thousand, sixteen".