13461144417375 has 128 divisors (see below), whose sum is σ = 24003763430400. Its totient is φ = 6678927360000.

The previous prime is 13461144417359. The next prime is 13461144417419. The reversal of 13461144417375 is 57371444116431.

It is not a de Polignac number, because 13461144417375 - 2⁴ = 13461144417359 is a prime.

It is a super-2 number, since 2×13461144417375² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 400600575 + ... + 400634175.

It is an arithmetic number, because the mean of its divisors is an integer number (187529401800).

Almost surely, 2^{13461144417375} is an apocalyptic number.

13461144417375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13461144417375 is a deficient number, since it is larger than the sum of its proper divisors (10542619013025).

13461144417375 is a wasteful number, since it uses less digits than its factorization.

13461144417375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34650 (or 34640 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The spelling of 13461144417375 in words is "thirteen trillion, four hundred sixty-one billion, one hundred forty-four million, four hundred seventeen thousand, three hundred seventy-five".