233145424413405 has 80 divisors (see below), whose sum is σ = 477678001261824. Its totient is φ = 106572224828160.

The previous prime is 233145424413359. The next prime is 233145424413479. The reversal of 233145424413405 is 504314424541332.

It is a happy number.

233145424413405 is a `hidden beast` number, since 2 + 3 + 3 + 14 + 54 + 244 + 1 + 340 + 5 = 666.

It is not a de Polignac number, because 233145424413405 - 2²³ = 233145416024797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32157265 + ... + 38734745.

Almost surely, 2^{233145424413405} is an apocalyptic number.

It is an amenable number.

233145424413405 is an abundant number, since it is smaller than the sum of its proper divisors (244532576848419).

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

233145424413405 is a wasteful number, since it uses less digits than its factorization.

233145424413405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590008 (or 6589999 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 233145424413405 its reverse (504314424541332), we get a palindrome (737459848954737).

The spelling of 233145424413405 in words is "two hundred thirty-three trillion, one hundred forty-five billion, four hundred twenty-four million, four hundred thirteen thousand, four hundred five".