2153511146656 has 24 divisors (see below), whose sum is σ = 4268179610100. Its totient is φ = 1069529023488.

The previous prime is 2153511146623. The next prime is 2153511146687. The reversal of 2153511146656 is 6566411153512.

It can be written as a sum of positive squares in 2 ways, for example, as 2136029018256 + 17482128400 = 1461516^2 + 132220^2 .

It is a super-2 number, since 2×2153511146656² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 225824841 + ... + 225834376.

Almost surely, 2^{2153511146656} is an apocalyptic number.

It is an amenable number.

2153511146656 is a deficient number, since it is larger than the sum of its proper divisors (2114668463444).

2153511146656 is a wasteful number, since it uses less digits than its factorization.

2153511146656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451659376 (or 451659368 counting only the distinct ones).

The product of its digits is 648000, while the sum is 46.

The spelling of 2153511146656 in words is "two trillion, one hundred fifty-three billion, five hundred eleven million, one hundred forty-six thousand, six hundred fifty-six".