145314413541 has 24 divisors (see below), whose sum is σ = 230438785824. Its totient is φ = 87508380960.

The previous prime is 145314413507. The next prime is 145314413591.

145314413541 is a `hidden beast` number, since 1 + 45 + 31 + 4 + 41 + 3 + 541 = 666.

145314413541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 145314413541 - 2¹⁴ = 145314397157 is a prime.

It is a super-2 number, since 2×145314413541² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145314413496 and 145314413505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145314413591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4659051 + ... + 4690136.

It is an arithmetic number, because the mean of its divisors is an integer number (9601616076).

Almost surely, 2^145314413541 is an apocalyptic number.

145314413541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145314413541 is a deficient number, since it is larger than the sum of its proper divisors (85124372283).

145314413541 is a wasteful number, since it uses less digits than its factorization.

145314413541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9349361 (or 9349358 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 145314 and 413541, that added together give a palindrome (558855).

The spelling of 145314413541 in words is "one hundred forty-five billion, three hundred fourteen million, four hundred thirteen thousand, five hundred forty-one".