145322223541 has 32 divisors (see below), whose sum is σ = 163768066560. Its totient is φ = 127816704000.

The previous prime is 145322223533. The next prime is 145322223617.

145322223541 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 145322223541 - 2³ = 145322223533 is a prime.

It is a super-2 number, since 2×145322223541² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145322223497 and 145322223506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145322223341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80688841 + ... + 80690641.

It is an arithmetic number, because the mean of its divisors is an integer number (5117752080).

Almost surely, 2^145322223541 is an apocalyptic number.

145322223541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145322223541 is a deficient number, since it is larger than the sum of its proper divisors (18445843019).

145322223541 is a wasteful number, since it uses less digits than its factorization.

145322223541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565.

The product of its digits is 57600, while the sum is 34.

It can be divided in two parts, 145322 and 223541, that added together give a palindrome (368863).

The spelling of 145322223541 in words is "one hundred forty-five billion, three hundred twenty-two million, two hundred twenty-three thousand, five hundred forty-one".