145204331341311 has 96 divisors (see below), whose sum is σ = 236019047666688. Its totient is φ = 85249980990720.

The previous prime is 145204331341297. The next prime is 145204331341331. The reversal of 145204331341311 is 113143133402541.

145204331341311 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 0 + 4 + 331 + 3 + 4 + 1 + 311 = 666.

It is not a de Polignac number, because 145204331341311 - 2⁶ = 145204331341247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145204331341331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1346387956 + ... + 1346495798.

It is an arithmetic number, because the mean of its divisors is an integer number (2458531746528).

Almost surely, 2^{145204331341311} is an apocalyptic number.

145204331341311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

145204331341311 is a deficient number, since it is larger than the sum of its proper divisors (90814716325377).

145204331341311 is a wasteful number, since it uses less digits than its factorization.

145204331341311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109501 (or 109498 counting only the distinct ones).

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

Adding to 145204331341311 its reverse (113143133402541), we get a palindrome (258347464743852).

The spelling of 145204331341311 in words is "one hundred forty-five trillion, two hundred four billion, three hundred thirty-one million, three hundred forty-one thousand, three hundred eleven".