14691456 has 160 divisors (see below), whose sum is σ = 47516700. Its totient is φ = 4478976.

The previous prime is 14691449. The next prime is 14691461. The reversal of 14691456 is 65419641.

It can be written as a sum of positive squares in 2 ways, for example, as 14561856 + 129600 = 3816^2 + 360^2 .

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 14691456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134730 + ... + 134838.

Almost surely, 2^14691456 is an apocalyptic number.

14691456 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 14691456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23758350).

14691456 is an abundant number, since it is smaller than the sum of its proper divisors (32825244).

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

14691456 is a wasteful number, since it uses less digits than its factorization.

14691456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 14691456 is about 3832.9435164114. The cubic root of 14691456 is about 244.9185123975.

The spelling of 14691456 in words is "fourteen million, six hundred ninety-one thousand, four hundred fifty-six".