191954909438208 has 1080 divisors, whose sum is σ = 705178469207520. Its totient is φ = 51638114304000.

The previous prime is 191954909438203. The next prime is 191954909438231. The reversal of 191954909438208 is 802834909459191.

191954909438208 is a `hidden beast` number, since 1 + 9 + 1 + 95 + 490 + 9 + 43 + 8 + 2 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (191954909438203) 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 119 ways as a sum of consecutive naturals, for example, 3146719708 + ... + 3146780708.

It is an arithmetic number, because the mean of its divisors is an integer number (652943027044).

Almost surely, 2^{191954909438208} is an apocalyptic number.

191954909438208 is a gapful number since it is divisible by the number (18) 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 191954909438208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352589234603760).

191954909438208 is an abundant number, since it is smaller than the sum of its proper divisors (513223559769312).

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

191954909438208 is a wasteful number, since it uses less digits than its factorization.

191954909438208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61225 (or 61195 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 191954909438208 in words is "one hundred ninety-one trillion, nine hundred fifty-four billion, nine hundred nine million, four hundred thirty-eight thousand, two hundred eight".