4456191348 has 288 divisors, whose sum is σ = 14178131968. Its totient is φ = 1196726400.

The previous prime is 4456191343. The next prime is 4456191361. The reversal of 4456191348 is 8431916544.

4456191348 is a `hidden beast` number, since 4 + 456 + 191 + 3 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4456191343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7803903 + ... + 7804473.

Almost surely, 2^4456191348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4456191348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7089065984).

4456191348 is an abundant number, since it is smaller than the sum of its proper divisors (9721940620).

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

4456191348 is a wasteful number, since it uses less digits than its factorization.

4456191348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 651 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 4456191348 is about 66754.7103057155. The cubic root of 4456191348 is about 1645.5886263569.

The spelling of 4456191348 in words is "four billion, four hundred fifty-six million, one hundred ninety-one thousand, three hundred forty-eight".