191314816 has 192 divisors, whose sum is σ = 502329600. Its totient is φ = 71715840.

The previous prime is 191314813. The next prime is 191314829. The reversal of 191314816 is 618413191.

191314816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×191314816² = 73202717642227712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191314813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3242595 + ... + 3242653.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2^191314816 is an apocalyptic number.

191314816 is a gapful number since it is divisible by the number (16) 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 191314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251164800).

191314816 is an abundant number, since it is smaller than the sum of its proper divisors (311014784).

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

191314816 is a wasteful number, since it uses less digits than its factorization.

191314816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its digits is 5184, while the sum is 34.

The square root of 191314816 is about 13831.6599148475. The cubic root of 191314816 is about 576.2127557674.

The spelling of 191314816 in words is "one hundred ninety-one million, three hundred fourteen thousand, eight hundred sixteen".