1456538112 has 240 divisors, whose sum is σ = 4557833280. Its totient is φ = 463491072.

The previous prime is 1456538099. The next prime is 1456538123. The reversal of 1456538112 is 2118356541.

1456538112 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 538 + 112 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2861314 + ... + 2861822.

It is an arithmetic number, because the mean of its divisors is an integer number (18990972).

Almost surely, 2^1456538112 is an apocalyptic number.

1456538112 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 1456538112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278916640).

1456538112 is an abundant number, since it is smaller than the sum of its proper divisors (3101295168).

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

1456538112 is an frugal number, since it uses more digits than its factorization.

1456538112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 537 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1456538112 is about 38164.6185884256. The cubic root of 1456538112 is about 1133.5498339180.

The spelling of 1456538112 in words is "one billion, four hundred fifty-six million, five hundred thirty-eight thousand, one hundred twelve".