11919611245441 has 81 divisors (see below), whose sum is σ = 13489164413179. Its totient is φ = 10530005710336.

The previous prime is 11919611245363. The next prime is 11919611245457. The reversal of 11919611245441 is 14454211691911.

The square root of 11919611245441 is 3452479.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7332749489025 + 4586861756416 = 2707905^2 + 2141696^2 .

It is not a de Polignac number, because 11919611245441 - 2⁹ = 11919611244929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11919611255441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 79997390835 + ... + 79997390983.

Almost surely, 2^{11919611245441} is an apocalyptic number.

11919611245441 is the 3452479-th square number.

11919611245441 is the 1726240-th centered octagonal number.

It is an amenable number.

11919611245441 is a deficient number, since it is larger than the sum of its proper divisors (1569553167738).

11919611245441 is an frugal number, since it uses more digits than its factorization.

11919611245441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its digits is 311040, while the sum is 49.

Multiplying 11919611245441 by its sum of digits (49), we get a square (584060951026609 = 24167353²).

The spelling of 11919611245441 in words is "eleven trillion, nine hundred nineteen billion, six hundred eleven million, two hundred forty-five thousand, four hundred forty-one".