191940194160 has 960 divisors, whose sum is σ = 794379156480. Its totient is φ = 41994547200.

The previous prime is 191940194123. The next prime is 191940194167. The reversal of 191940194160 is 61491049191.

191940194160 is a `hidden beast` number, since 191 + 9 + 40 + 1 + 9 + 416 + 0 = 666.

191940194160 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191940194167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1149342397 + ... + 1149342563.

It is an arithmetic number, because the mean of its divisors is an integer number (827478288).

Almost surely, 2^191940194160 is an apocalyptic number.

191940194160 is a gapful number since it is divisible by the number (10) 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 191940194160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397189578240).

191940194160 is an abundant number, since it is smaller than the sum of its proper divisors (602438962320).

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

191940194160 is a wasteful number, since it uses less digits than its factorization.

191940194160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

It can be divided in two parts, 1919401 and 94160, that added together give a square (2013561 = 1419²).

The spelling of 191940194160 in words is "one hundred ninety-one billion, nine hundred forty million, one hundred ninety-four thousand, one hundred sixty".