321145343541 has 32 divisors (see below), whose sum is σ = 535765463040. Its totient is φ = 188355034800.

The previous prime is 321145343539. The next prime is 321145343569. The reversal of 321145343541 is 145343541123.

321145343541 is a `hidden beast` number, since 3 + 2 + 114 + 534 + 3 + 5 + 4 + 1 = 666.

It is not a de Polignac number, because 321145343541 - 2¹ = 321145343539 is a prime.

It is a super-3 number, since 3×321145343541³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321145343496 and 321145343505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321145343501) 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 31 ways as a sum of consecutive naturals, for example, 17431075 + ... + 17449488.

It is an arithmetic number, because the mean of its divisors is an integer number (16742670720).

Almost surely, 2^321145343541 is an apocalyptic number.

321145343541 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

321145343541 is a deficient number, since it is larger than the sum of its proper divisors (214620119499).

321145343541 is a wasteful number, since it uses less digits than its factorization.

321145343541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34880614 (or 34880608 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 321145343541 its reverse (145343541123), we get a palindrome (466488884664).

The spelling of 321145343541 in words is "three hundred twenty-one billion, one hundred forty-five million, three hundred forty-three thousand, five hundred forty-one".