191112768 has 336 divisors, whose sum is σ = 710062080. Its totient is φ = 47692800.

The previous prime is 191112731. The next prime is 191112781. The reversal of 191112768 is 867211191.

It is a tau number, because it is divible by the number of its divisors (336).

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.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1374843 + ... + 1374981.

It is an arithmetic number, because the mean of its divisors is an integer number (2113280).

Almost surely, 2^191112768 is an apocalyptic number.

191112768 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 191112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355031040).

191112768 is an abundant number, since it is smaller than the sum of its proper divisors (518949312).

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

191112768 is a wasteful number, since it uses less digits than its factorization.

191112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its digits is 6048, while the sum is 36.

The square root of 191112768 is about 13824.3541621300. The cubic root of 191112768 is about 576.0098377949.

The spelling of 191112768 in words is "one hundred ninety-one million, one hundred twelve thousand, seven hundred sixty-eight".