11564743450401 has 12 divisors (see below), whose sum is σ = 16801187982228. Its totient is φ = 7665263480544.

The previous prime is 11564743450391. The next prime is 11564743450411. The reversal of 11564743450401 is 10405434746511.

11564743450401 is a `hidden beast` number, since 1 + 1 + 564 + 7 + 4 + 3 + 45 + 0 + 40 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (11564743450391) and next prime (11564743450411).

It can be written as a sum of positive squares in 2 ways, for example, as 11150523777600 + 414219672801 = 3339240^2 + 643599^2 .

It is not a de Polignac number, because 11564743450401 - 2³⁷ = 11427304496929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11564743450411) 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 11 ways as a sum of consecutive naturals, for example, 3713788890 + ... + 3713792003.

It is an arithmetic number, because the mean of its divisors is an integer number (1400098998519).

Almost surely, 2^{11564743450401} is an apocalyptic number.

It is an amenable number.

11564743450401 is a deficient number, since it is larger than the sum of its proper divisors (5236444531827).

11564743450401 is a wasteful number, since it uses less digits than its factorization.

11564743450401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7427581072 (or 7427581069 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 11564743450401 in words is "eleven trillion, five hundred sixty-four billion, seven hundred forty-three million, four hundred fifty thousand, four hundred one".