11144714256900 has 675 divisors, whose sum is σ = 42201127567599. Its totient is φ = 2543998181760.

The previous prime is 11144714256847. The next prime is 11144714256901. The reversal of 11144714256900 is 965241744111.

The square root of 11144714256900 is 3338370.

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

11144714256900 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 47 + 1 + 42 + 569 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5888106756 + 11138826150144 = 76734^2 + 3337488^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a super-2 number, since 2×11144714256900² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11144714256901) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 14722211322 + ... + 14722212078.

Almost surely, 2^{11144714256900} is an apocalyptic number.

11144714256900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11144714256900 is the 3338370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11144714256900

11144714256900 is an abundant number, since it is smaller than the sum of its proper divisors (31056413310699).

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

11144714256900 is an frugal number, since it uses more digits than its factorization.

11144714256900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11144714256900 in words is "eleven trillion, one hundred forty-four billion, seven hundred fourteen million, two hundred fifty-six thousand, nine hundred".