13546101063144 has 64 divisors (see below), whose sum is σ = 36554890256640. Its totient is φ = 4158360449280.

The previous prime is 13546101063071. The next prime is 13546101063163. The reversal of 13546101063144 is 44136010164531.

It is a happy number.

It is a super-2 number, since 2×13546101063144² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 50233267 + ... + 50502210.

It is an arithmetic number, because the mean of its divisors is an integer number (571170160260).

Almost surely, 2^{13546101063144} is an apocalyptic number.

It is an amenable number.

13546101063144 is an abundant number, since it is smaller than the sum of its proper divisors (23008789193496).

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

13546101063144 is a wasteful number, since it uses less digits than its factorization.

13546101063144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100735930 (or 100735926 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 13546101063144 in words is "thirteen trillion, five hundred forty-six billion, one hundred one million, sixty-three thousand, one hundred forty-four".