11414656 has 64 divisors (see below), whose sum is σ = 25385760. Its totient is φ = 5111040.

The previous prime is 11414639. The next prime is 11414659. The reversal of 11414656 is 65641411.

It is a tau number, because it is divible by the number of its divisors (64).

Its product of digits (2880) is a multiple of the sum of its prime divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11414659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170335 + ... + 170401.

Almost surely, 2^11414656 is an apocalyptic number.

11414656 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 11414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12692880).

11414656 is an abundant number, since it is smaller than the sum of its proper divisors (13971104).

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

11414656 is an frugal number, since it uses more digits than its factorization.

11414656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 80 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 11414656 is about 3378.5582723996. The cubic root of 11414656 is about 225.1581176641.

The spelling of 11414656 in words is "eleven million, four hundred fourteen thousand, six hundred fifty-six".