145414414541 has 24 divisors (see below), whose sum is σ = 168533386560. Its totient is φ = 125024929920.

The previous prime is 145414414531. The next prime is 145414414543.

145414414541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145414414541 - 2¹⁰ = 145414413517 is a prime.

It is a super-2 number, since 2×145414414541² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145414414495 and 145414414504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145414414543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1309976 + ... + 1416638.

It is an arithmetic number, because the mean of its divisors is an integer number (7022224440).

Almost surely, 2^145414414541 is an apocalyptic number.

145414414541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145414414541 is a deficient number, since it is larger than the sum of its proper divisors (23118972019).

145414414541 is a wasteful number, since it uses less digits than its factorization.

145414414541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107297 (or 107286 counting only the distinct ones).

The product of its digits is 102400, while the sum is 38.

It can be divided in two parts, 145414 and 414541, that added together give a palindrome (559955).

The spelling of 145414414541 in words is "one hundred forty-five billion, four hundred fourteen million, four hundred fourteen thousand, five hundred forty-one".