190436009904672 has 144 divisors (see below), whose sum is σ = 581616094483872. Its totient is φ = 54400357724160.

The previous prime is 190436009904601. The next prime is 190436009904677. The reversal of 190436009904672 is 276409900634091.

It is not an unprimeable number, because it can be changed into a prime (190436009904677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22100272 + ... + 29483792.

It is an arithmetic number, because the mean of its divisors is an integer number (4039000656138).

Almost surely, 2^{190436009904672} is an apocalyptic number.

190436009904672 is a gapful number since it is divisible by the number (12) 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 190436009904672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290808047241936).

190436009904672 is an abundant number, since it is smaller than the sum of its proper divisors (391180084579200).

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

190436009904672 is a wasteful number, since it uses less digits than its factorization.

190436009904672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7389031 (or 7389016 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 190436009904672 in words is "one hundred ninety trillion, four hundred thirty-six billion, nine million, nine hundred four thousand, six hundred seventy-two".