11451511116441 has 48 divisors (see below), whose sum is σ = 18173659540608. Its totient is φ = 6890895244800.

The previous prime is 11451511116403. The next prime is 11451511116449. The reversal of 11451511116441 is 14461111515411.

11451511116441 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 1 + 5 + 1 + 1 + 1 + 1 + 644 + 1 = 666.

It is not a de Polignac number, because 11451511116441 - 2³⁰ = 11450437374617 is a prime.

It is a super-2 number, since 2×11451511116441² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11451511116396 and 11451511116405.

It is not an unprimeable number, because it can be changed into a prime (11451511116449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8895121 + ... + 10100801.

It is an arithmetic number, because the mean of its divisors is an integer number (378617907096).

Almost surely, 2^{11451511116441} is an apocalyptic number.

11451511116441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11451511116441 is a deficient number, since it is larger than the sum of its proper divisors (6722148424167).

11451511116441 is a wasteful number, since it uses less digits than its factorization.

11451511116441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206382 (or 1206379 counting only the distinct ones).

The product of its digits is 9600, while the sum is 36.

The spelling of 11451511116441 in words is "eleven trillion, four hundred fifty-one billion, five hundred eleven million, one hundred sixteen thousand, four hundred forty-one".