14961456 has 80 divisors (see below), whose sum is σ = 43747200. Its totient is φ = 4894272.

The previous prime is 14961421. The next prime is 14961467. The reversal of 14961456 is 65416941.

14961456 is a `hidden beast` number, since 149 + 61 + 456 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 14961456.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25195 + ... + 25781.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 2^14961456 is an apocalyptic number.

14961456 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 14961456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21873600).

14961456 is an abundant number, since it is smaller than the sum of its proper divisors (28785744).

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

14961456 is a wasteful number, since it uses less digits than its factorization.

14961456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 651 counting only the distinct ones).

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

The square root of 14961456 is about 3868.0041365024. The cubic root of 14961456 is about 246.4097869559.

The spelling of 14961456 in words is "fourteen million, nine hundred sixty-one thousand, four hundred fifty-six".