11451456 has 105 divisors (see below), whose sum is σ = 34683319. Its totient is φ = 3735936.

The previous prime is 11451449. The next prime is 11451467. The reversal of 11451456 is 65415411.

The square root of 11451456 is 3384.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×11451456² = 262271689039872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 243625 + ... + 243671.

Almost surely, 2^11451456 is an apocalyptic number.

11451456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11451456 is the 3384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11451456

11451456 is an abundant number, since it is smaller than the sum of its proper divisors (23231863).

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

11451456 is an frugal number, since it uses more digits than its factorization.

11451456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 52 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The cubic root of 11451456 is about 225.3998224326.

Adding to 11451456 its reverse (65415411), we get a palindrome (76866867).

It can be divided in two parts, 1145 and 1456, that added together give a square (2601 = 51²).

The spelling of 11451456 in words is "eleven million, four hundred fifty-one thousand, four hundred fifty-six".