14545444454541 has 128 divisors (see below), whose sum is σ = 29714629324800. Its totient is φ = 6786328884480.

The previous prime is 14545444454539. The next prime is 14545444454579.

It is a happy number.

14545444454541 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 5 + 4 + 4 + 44 + 54 + 541 = 666.

14545444454541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14545444454541 - 2¹ = 14545444454539 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14545444454501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6272731 + ... + 8272728.

It is an arithmetic number, because the mean of its divisors is an integer number (232145541600).

Almost surely, 2^{14545444454541} is an apocalyptic number.

14545444454541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14545444454541 is an abundant number, since it is smaller than the sum of its proper divisors (15169184870259).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14545444454541 is a wasteful number, since it uses less digits than its factorization.

14545444454541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14545536 (or 14545530 counting only the distinct ones).

The product of its digits is 40960000, while the sum is 54.

It can be divided in two parts, 1454544 and 4454541, that multiplied together give a square (6479325884304 = 2545452²).

The spelling of 14545444454541 in words is "fourteen trillion, five hundred forty-five billion, four hundred forty-four million, four hundred fifty-four thousand, five hundred forty-one".