13465146541 has 48 divisors (see below), whose sum is σ = 17277314688. Its totient is φ = 10406894400.

The previous prime is 13465146533. The next prime is 13465146553. The reversal of 13465146541 is 14564156431.

13465146541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13465146541 - 2³ = 13465146533 is a prime.

It is a Duffinian number.

Its product of digits (172800) is a multiple of the sum of its prime factors (640).

It is a junction number, because it is equal to n+sod(n) for n = 13465146494 and 13465146503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13465146581) 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 47 ways as a sum of consecutive naturals, for example, 31983511 + ... + 31983931.

It is an arithmetic number, because the mean of its divisors is an integer number (359944056).

Almost surely, 2^13465146541 is an apocalyptic number.

13465146541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13465146541 is a deficient number, since it is larger than the sum of its proper divisors (3812168147).

13465146541 is an frugal number, since it uses more digits than its factorization.

13465146541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 612 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The spelling of 13465146541 in words is "thirteen billion, four hundred sixty-five million, one hundred forty-six thousand, five hundred forty-one".