16147456 has 44 divisors (see below), whose sum is σ = 34790812. Its totient is φ = 7446528.

The previous prime is 16147451. The next prime is 16147471. The reversal of 16147456 is 65474161.

It can be written as a sum of positive squares in 2 ways, for example, as 1401856 + 14745600 = 1184^2 + 3840^2 .

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (16147451) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12706 + ... + 13918.

Almost surely, 2^16147456 is an apocalyptic number.

16147456 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 16147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17395406).

16147456 is an abundant number, since it is smaller than the sum of its proper divisors (18643356).

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

16147456 is a wasteful number, since it uses less digits than its factorization.

16147456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1228 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 16147456 is about 4018.3897272415. The cubic root of 16147456 is about 252.7559395518.

It can be divided in two parts, 16 and 147456, that multiplied together give a square (2359296 = 1536²).

The spelling of 16147456 in words is "sixteen million, one hundred forty-seven thousand, four hundred fifty-six".