191742598478144 has 336 divisors, whose sum is σ = 475310930829120. Its totient is φ = 76290776432640.

The previous prime is 191742598478113. The next prime is 191742598478149. The reversal of 191742598478144 is 441874895247191.

191742598478144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (74) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191742598478149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 770356274 + ... + 770605134.

Almost surely, 2^{191742598478144} is an apocalyptic number.

191742598478144 is a gapful number since it is divisible by the number (14) 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 191742598478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237655465414560).

191742598478144 is an abundant number, since it is smaller than the sum of its proper divisors (283568332350976).

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

191742598478144 is a wasteful number, since it uses less digits than its factorization.

191742598478144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249166 (or 249149 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 74.

The spelling of 191742598478144 in words is "one hundred ninety-one trillion, seven hundred forty-two billion, five hundred ninety-eight million, four hundred seventy-eight thousand, one hundred forty-four".