11641120621344 has 36 divisors (see below), whose sum is σ = 33104436767766. Its totient is φ = 3880373540352.

The previous prime is 11641120621327. The next prime is 11641120621349. The reversal of 11641120621344 is 44312602114611.

11641120621344 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 1 + 1 + 20 + 621 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8973739184400 + 2667381436944 = 2995620^2 + 1633212^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11641120621299 and 11641120621308.

It is not an unprimeable number, because it can be changed into a prime (11641120621349) 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 5 ways as a sum of consecutive naturals, for example, 20210278569 + ... + 20210279144.

Almost surely, 2^{11641120621344} is an apocalyptic number.

It is an amenable number.

11641120621344 is an abundant number, since it is smaller than the sum of its proper divisors (21463316146422).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11641120621344 is a wasteful number, since it uses less digits than its factorization.

11641120621344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40420557729 (or 40420557718 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 11641120621344 its reverse (44312602114611), we get a palindrome (55953722735955).

The spelling of 11641120621344 in words is "eleven trillion, six hundred forty-one billion, one hundred twenty million, six hundred twenty-one thousand, three hundred forty-four".