191443483863632 has 1920 divisors, whose sum is σ = 557677639680000. Its totient is φ = 63009786470400.

The previous prime is 191443483863607. The next prime is 191443483863637. The reversal of 191443483863632 is 236368384344191.

191443483863632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (214990848) is a multiple of the sum of its prime factors (486).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191443483863637) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 706433519657 + ... + 706433519927.

It is an arithmetic number, because the mean of its divisors is an integer number (290457104000).

Almost surely, 2^{191443483863632} 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 191443483863632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278838819840000).

191443483863632 is an abundant number, since it is smaller than the sum of its proper divisors (366234155816368).

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

191443483863632 is a wasteful number, since it uses less digits than its factorization.

191443483863632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 455 counting only the distinct ones).

The product of its digits is 214990848, while the sum is 65.

The spelling of 191443483863632 in words is "one hundred ninety-one trillion, four hundred forty-three billion, four hundred eighty-three million, eight hundred sixty-three thousand, six hundred thirty-two".