11778144 has 96 divisors (see below), whose sum is σ = 37449216. Its totient is φ = 3164160.

The previous prime is 11778121. The next prime is 11778149. The reversal of 11778144 is 44187711.

11778144 = 401² + 402² + ... + 463².

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11778149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10909 + ... + 11939.

It is an arithmetic number, because the mean of its divisors is an integer number (390096).

Almost surely, 2^11778144 is an apocalyptic number.

11778144 is a gapful number since it is divisible by the number (14) 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 11778144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18724608).

11778144 is an abundant number, since it is smaller than the sum of its proper divisors (25671072).

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

11778144 is a wasteful number, since it uses less digits than its factorization.

11778144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1060 counting only the distinct ones).

The product of its digits is 6272, while the sum is 33.

The square root of 11778144 is about 3431.9300692176. The cubic root of 11778144 is about 227.5231647305.

The spelling of 11778144 in words is "eleven million, seven hundred seventy-eight thousand, one hundred forty-four".