1458842112 has 480 divisors, whose sum is σ = 5362156800. Its totient is φ = 379330560.

The previous prime is 1458842089. The next prime is 1458842117. The reversal of 1458842112 is 2112488541.

1458842112 is a `hidden beast` number, since 145 + 88 + 421 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1458842117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20547037 + ... + 20547107.

It is an arithmetic number, because the mean of its divisors is an integer number (11171160).

Almost surely, 2^1458842112 is an apocalyptic number.

1458842112 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 1458842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681078400).

1458842112 is an abundant number, since it is smaller than the sum of its proper divisors (3903314688).

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

1458842112 is an equidigital number, since it uses as much as digits as its factorization.

1458842112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 96 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 1458842112 is about 38194.7916868256. The cubic root of 1458842112 is about 1134.1472145414.

The spelling of 1458842112 in words is "one billion, four hundred fifty-eight million, eight hundred forty-two thousand, one hundred twelve".