145563365541 has 96 divisors (see below), whose sum is σ = 221443867008. Its totient is φ = 85029120000.

The previous prime is 145563365531. The next prime is 145563365543.

145563365541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145563365541 - 2¹⁹ = 145562841253 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145563365543) 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, 1441221391 + ... + 1441221491.

It is an arithmetic number, because the mean of its divisors is an integer number (2306706948).

Almost surely, 2^145563365541 is an apocalyptic number.

145563365541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145563365541 is a deficient number, since it is larger than the sum of its proper divisors (75880501467).

145563365541 is an equidigital number, since it uses as much as digits as its factorization.

145563365541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 273 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 48.

The spelling of 145563365541 in words is "one hundred forty-five billion, five hundred sixty-three million, three hundred sixty-five thousand, five hundred forty-one".