191001966408 has 240 divisors, whose sum is σ = 592021237500. Its totient is φ = 57487415040.

The previous prime is 191001966373. The next prime is 191001966409. The reversal of 191001966408 is 804669100191.

191001966408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 161396634564 + 29605331844 = 401742^2 + 172062^2 .

It is not an unprimeable number, because it can be changed into a prime (191001966409) 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 59 ways as a sum of consecutive naturals, for example, 11674618 + ... + 11690966.

Almost surely, 2^191001966408 is an apocalyptic number.

191001966408 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 191001966408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296010618750).

191001966408 is an abundant number, since it is smaller than the sum of its proper divisors (401019271092).

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

191001966408 is a wasteful number, since it uses less digits than its factorization.

191001966408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16538 (or 16514 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 191001966408 in words is "one hundred ninety-one billion, one million, nine hundred sixty-six thousand, four hundred eight".