190943439789312 has 1728 divisors, whose sum is σ = 685746857263104. Its totient is φ = 51854359265280.

The previous prime is 190943439789251. The next prime is 190943439789313. The reversal of 190943439789312 is 213987934349091.

190943439789312 is a `hidden beast` number, since 1 + 9 + 0 + 9 + 434 + 3 + 97 + 8 + 93 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190943439789313) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 262645721493 + ... + 262645722219.

Almost surely, 2^{190943439789312} is an apocalyptic number.

190943439789312 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 190943439789312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342873428631552).

190943439789312 is an abundant number, since it is smaller than the sum of its proper divisors (494803417473792).

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

190943439789312 is an equidigital number, since it uses as much as digits as its factorization.

190943439789312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 190943439789312 in words is "one hundred ninety trillion, nine hundred forty-three billion, four hundred thirty-nine million, seven hundred eighty-nine thousand, three hundred twelve".