206034611328 has 1152 divisors, whose sum is σ = 790094448000. Its totient is φ = 50307858432.

The previous prime is 206034611303. The next prime is 206034611339. The reversal of 206034611328 is 823116430602.

206034611328 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 3 + 4 + 611 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×206034611328² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 206034611292 and 206034611301.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1890225738 + ... + 1890225846.

It is an arithmetic number, because the mean of its divisors is an integer number (685845875).

Almost surely, 2^206034611328 is an apocalyptic number.

206034611328 is a gapful number since it is divisible by the number (28) 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 206034611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395047224000).

206034611328 is an abundant number, since it is smaller than the sum of its proper divisors (584059836672).

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

206034611328 is a wasteful number, since it uses less digits than its factorization.

206034611328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 206034611328 in words is "two hundred six billion, thirty-four million, six hundred eleven thousand, three hundred twenty-eight".