191382912 has 224 divisors, whose sum is σ = 655537680. Its totient is φ = 54494208.

The previous prime is 191382899. The next prime is 191382913. The reversal of 191382912 is 219283191.

191382912 is a `hidden beast` number, since 191 + 382 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191382913) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 653038 + ... + 653330.

Almost surely, 2^191382912 is an apocalyptic number.

191382912 is a gapful number since it is divisible by the number (12) 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 191382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327768840).

191382912 is an abundant number, since it is smaller than the sum of its proper divisors (464154768).

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

191382912 is an frugal number, since it uses more digits than its factorization.

191382912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 305 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 191382912 is about 13834.1212948275. The cubic root of 191382912 is about 576.2811127825.

The spelling of 191382912 in words is "one hundred ninety-one million, three hundred eighty-two thousand, nine hundred twelve".