11225614401 has 9 divisors (see below), whose sum is σ = 16215235491. Its totient is φ = 7483531032.

The previous prime is 11225614399. The next prime is 11225614417. The reversal of 11225614401 is 10441652211.

The square root of 11225614401 is 105951.

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

11225614401 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 5 + 614 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5731247025 + 5494367376 = 75705^2 + 74124^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 11225614401 - 2¹ = 11225614399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11225414401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 300195 + ... + 335511.

Almost surely, 2^11225614401 is an apocalyptic number.

11225614401 is the 105951-st square number.

11225614401 is the 52976-th centered octagonal number.

It is an amenable number.

11225614401 is a deficient number, since it is larger than the sum of its proper divisors (4989621090).

11225614401 is an frugal number, since it uses more digits than its factorization.

11225614401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70640 (or 35320 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11225614401 in words is "eleven billion, two hundred twenty-five million, six hundred fourteen thousand, four hundred one".