11145413124225 has 48 divisors (see below), whose sum is σ = 20518758739200. Its totient is φ = 5931381677760.

The previous prime is 11145413124217. The next prime is 11145413124259. The reversal of 11145413124225 is 52242131454111.

11145413124225 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 5 + 413 + 12 + 4 + 225 = 666.

It is not a de Polignac number, because 11145413124225 - 2³ = 11145413124217 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11145413124225.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17518710 + ... + 18143759.

It is an arithmetic number, because the mean of its divisors is an integer number (427474140400).

Almost surely, 2^{11145413124225} is an apocalyptic number.

11145413124225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11145413124225 is a deficient number, since it is larger than the sum of its proper divisors (9373345614975).

11145413124225 is a wasteful number, since it uses less digits than its factorization.

11145413124225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35662951 (or 35662940 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

Adding to 11145413124225 its reverse (52242131454111), we get a palindrome (63387544578336).

The spelling of 11145413124225 in words is "eleven trillion, one hundred forty-five billion, four hundred thirteen million, one hundred twenty-four thousand, two hundred twenty-five".