125233312311441 has 24 divisors (see below), whose sum is σ = 186955245984000. Its totient is φ = 80697273904800.

The previous prime is 125233312311431. The next prime is 125233312311487. The reversal of 125233312311441 is 144113213332521.

125233312311441 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 3 + 331 + 2 + 311 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 125233312311441 - 2¹³ = 125233312303249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 125233312311396 and 125233312311405.

It is not an unprimeable number, because it can be changed into a prime (125233312311431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273135691 + ... + 273593808.

It is an arithmetic number, because the mean of its divisors is an integer number (7789801916000).

Almost surely, 2^{125233312311441} is an apocalyptic number.

It is an amenable number.

125233312311441 is a deficient number, since it is larger than the sum of its proper divisors (61721933672559).

125233312311441 is a wasteful number, since it uses less digits than its factorization.

125233312311441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546730357 (or 546730354 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 125233312311441 its reverse (144113213332521), we get a palindrome (269346525643962).

The spelling of 125233312311441 in words is "one hundred twenty-five trillion, two hundred thirty-three billion, three hundred twelve million, three hundred eleven thousand, four hundred forty-one".