153641264841 has 9 divisors (see below), whose sum is σ = 221927969991. Its totient is φ = 102426725952.

The previous prime is 153641264809. The next prime is 153641264851. The reversal of 153641264841 is 148462146351.

The square root of 153641264841 is 391971.

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

153641264841 is a `hidden beast` number, since 1 + 536 + 4 + 12 + 64 + 8 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101152622025 + 52488642816 = 318045^2 + 229104^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 153641264841 - 2⁵ = 153641264809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153641264801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1110585 + ... + 1241241.

Almost surely, 2^153641264841 is an apocalyptic number.

153641264841 is the 391971-st square number.

153641264841 is the 195986-th centered octagonal number.

It is an amenable number.

153641264841 is a deficient number, since it is larger than the sum of its proper divisors (68286705150).

153641264841 is an frugal number, since it uses more digits than its factorization.

153641264841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261320 (or 130660 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 153641264841 in words is "one hundred fifty-three billion, six hundred forty-one million, two hundred sixty-four thousand, eight hundred forty-one".