1153605163221 has 48 divisors (see below), whose sum is σ = 1988756640000. Its totient is φ = 630036126720.

The previous prime is 1153605163157. The next prime is 1153605163247. The reversal of 1153605163221 is 1223615063511.

1153605163221 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 605 + 16 + 32 + 2 + 1 = 666.

It is not a de Polignac number, because 1153605163221 - 2⁶ = 1153605163157 is a prime.

It is a super-2 number, since 2×1153605163221² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153605163261) 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 47 ways as a sum of consecutive naturals, for example, 1491091 + ... + 2128511.

It is an arithmetic number, because the mean of its divisors is an integer number (41432430000).

Almost surely, 2^{1153605163221} is an apocalyptic number.

It is an amenable number.

1153605163221 is a deficient number, since it is larger than the sum of its proper divisors (835151476779).

1153605163221 is a wasteful number, since it uses less digits than its factorization.

1153605163221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638706 (or 638703 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1153605163221 in words is "one trillion, one hundred fifty-three billion, six hundred five million, one hundred sixty-three thousand, two hundred twenty-one".