190830017664 has 480 divisors, whose sum is σ = 672303421020. Its totient is φ = 53374464000.

The previous prime is 190830017657. The next prime is 190830017681. The reversal of 190830017664 is 466710038091.

It is a happy number.

190830017664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 190437977664 + 392040000 = 436392^2 + 19800^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16303014 + ... + 16314714.

Almost surely, 2^190830017664 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 190830017664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336151710510).

190830017664 is an abundant number, since it is smaller than the sum of its proper divisors (481473403356).

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

190830017664 is a wasteful number, since it uses less digits than its factorization.

190830017664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11762 (or 11730 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 190830017664 in words is "one hundred ninety billion, eight hundred thirty million, seventeen thousand, six hundred sixty-four".