10414235153 has 16 divisors (see below), whose sum is σ = 12439351680. Its totient is φ = 8529808896.

The previous prime is 10414235101. The next prime is 10414235171. The reversal of 10414235153 is 35153241401.

10414235153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10414235153 - 2¹⁴ = 10414218769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (10414231153) 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 15 ways as a sum of consecutive naturals, for example, 244751 + ... + 284132.

It is an arithmetic number, because the mean of its divisors is an integer number (777459480).

Almost surely, 2^10414235153 is an apocalyptic number.

It is an amenable number.

10414235153 is a deficient number, since it is larger than the sum of its proper divisors (2025116527).

10414235153 is an equidigital number, since it uses as much as digits as its factorization.

10414235153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529016.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 10414235153 its reverse (35153241401), we get a palindrome (45567476554).

The spelling of 10414235153 in words is "ten billion, four hundred fourteen million, two hundred thirty-five thousand, one hundred fifty-three".