191325456 has 160 divisors (see below), whose sum is σ = 633292800. Its totient is φ = 54172800.

The previous prime is 191325437. The next prime is 191325457. The reversal of 191325456 is 654523191.

It is a super-2 number, since 2×191325456² = 73210860227215872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 191325456.

It is not an unprimeable number, because it can be changed into a prime (191325457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456415 + ... + 456833.

It is an arithmetic number, because the mean of its divisors is an integer number (3958080).

Almost surely, 2^191325456 is an apocalyptic number.

191325456 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 191325456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316646400).

191325456 is an abundant number, since it is smaller than the sum of its proper divisors (441967344).

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

191325456 is a wasteful number, since it uses less digits than its factorization.

191325456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 582 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 191325456 is about 13832.0445343413. The cubic root of 191325456 is about 576.2234376201.

The spelling of 191325456 in words is "one hundred ninety-one million, three hundred twenty-five thousand, four hundred fifty-six".