145346242643541 has 64 divisors (see below), whose sum is σ = 225600463872000. Its totient is φ = 92308980456000.

The previous prime is 145346242643491. The next prime is 145346242643549.

It is a happy number.

145346242643541 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 4 + 6 + 24 + 264 + 354 + 1 = 666.

145346242643541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145346242643541 - 2⁶ = 145346242643477 is a prime.

It is a super-2 number, since 2×145346242643541² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145346242643549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3528742975 + ... + 3528784163.

It is an arithmetic number, because the mean of its divisors is an integer number (3525007248000).

Almost surely, 2^{145346242643541} is an apocalyptic number.

It is an amenable number.

145346242643541 is a deficient number, since it is larger than the sum of its proper divisors (80254221228459).

145346242643541 is a wasteful number, since it uses less digits than its factorization.

145346242643541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64111 (or 64105 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 145346242643541 in words is "one hundred forty-five trillion, three hundred forty-six billion, two hundred forty-two million, six hundred forty-three thousand, five hundred forty-one".