11446133022225 has 288 divisors, whose sum is σ = 23720621783040. Its totient is φ = 5424887520000.

The previous prime is 11446133022223. The next prime is 11446133022271. The reversal of 11446133022225 is 52222033164411.

It is a happy number.

11446133022225 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 613 + 30 + 2 + 2 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 11446133022225 - 2¹ = 11446133022223 is a prime.

It is a super-2 number, since 2×11446133022225² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11446133022225.

It is not an unprimeable number, because it can be changed into a prime (11446133022223) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 533185942 + ... + 533207408.

It is an arithmetic number, because the mean of its divisors is an integer number (82363270080).

Almost surely, 2^{11446133022225} is an apocalyptic number.

11446133022225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11446133022225 is an abundant number, since it is smaller than the sum of its proper divisors (12274488760815).

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

11446133022225 is a wasteful number, since it uses less digits than its factorization.

11446133022225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21683 (or 21666 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 11446133022225 its reverse (52222033164411), we get a palindrome (63668166186636).

The spelling of 11446133022225 in words is "eleven trillion, four hundred forty-six billion, one hundred thirty-three million, twenty-two thousand, two hundred twenty-five".