13585878417144 has 32 divisors (see below), whose sum is σ = 37052395683840. Its totient is φ = 4116932853600.

The previous prime is 13585878417131. The next prime is 13585878417187. The reversal of 13585878417144 is 44171487858531.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25730830072 + ... + 25730830599.

It is an arithmetic number, because the mean of its divisors is an integer number (1157887365120).

Almost surely, 2^{13585878417144} is an apocalyptic number.

It is an amenable number.

13585878417144 is an abundant number, since it is smaller than the sum of its proper divisors (23466517266696).

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

13585878417144 is a wasteful number, since it uses less digits than its factorization.

13585878417144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51461660691 (or 51461660687 counting only the distinct ones).

The product of its digits is 120422400, while the sum is 66.

The spelling of 13585878417144 in words is "thirteen trillion, five hundred eighty-five billion, eight hundred seventy-eight million, four hundred seventeen thousand, one hundred forty-four".