11245004211441 has 64 divisors (see below), whose sum is σ = 20621914822656. Its totient is φ = 5260692441600.

The previous prime is 11245004211431. The next prime is 11245004211479. The reversal of 11245004211441 is 14411240054211.

It is a de Polignac number, because none of the positive numbers 2^k-11245004211441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11245004211399 and 11245004211408.

It is not an unprimeable number, because it can be changed into a prime (11245004211401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45542611 + ... + 45788856.

It is an arithmetic number, because the mean of its divisors is an integer number (322217419104).

Almost surely, 2^{11245004211441} is an apocalyptic number.

11245004211441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11245004211441 is a deficient number, since it is larger than the sum of its proper divisors (9376910611215).

11245004211441 is a wasteful number, since it uses less digits than its factorization.

11245004211441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91331542.

The product of its (nonzero) digits is 5120, while the sum is 30.

Adding to 11245004211441 its reverse (14411240054211), we get a palindrome (25656244265652).

The spelling of 11245004211441 in words is "eleven trillion, two hundred forty-five billion, four million, two hundred eleven thousand, four hundred forty-one".