191987222736848 has 960 divisors, whose sum is σ = 525601549347840. Its totient is φ = 66133095874560.

The previous prime is 191987222736847. The next prime is 191987222736853. The reversal of 191987222736848 is 848637222789191.

191987222736848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (77).

Its product of digits (1170505728) is a multiple of the sum of its prime factors (2916).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191987222736847) 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, 74040578240 + ... + 74040580832.

It is an arithmetic number, because the mean of its divisors is an integer number (547501613904).

Almost surely, 2^{191987222736848} 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 191987222736848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262800774673920).

191987222736848 is an abundant number, since it is smaller than the sum of its proper divisors (333614326610992).

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

191987222736848 is a wasteful number, since it uses less digits than its factorization.

191987222736848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2899 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 77.

The spelling of 191987222736848 in words is "one hundred ninety-one trillion, nine hundred eighty-seven billion, two hundred twenty-two million, seven hundred thirty-six thousand, eight hundred forty-eight".