13675798518144 has 512 divisors, whose sum is σ = 44394316800000. Its totient is φ = 3643199078400.

The previous prime is 13675798518089. The next prime is 13675798518223. The reversal of 13675798518144 is 44181589757631.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1860396069 + ... + 1860403419.

It is an arithmetic number, because the mean of its divisors is an integer number (86707650000).

Almost surely, 2^{13675798518144} is an apocalyptic number.

13675798518144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13675798518144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22197158400000).

13675798518144 is an abundant number, since it is smaller than the sum of its proper divisors (30718518281856).

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

13675798518144 is a wasteful number, since it uses less digits than its factorization.

13675798518144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7966 (or 7954 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 69.

The spelling of 13675798518144 in words is "thirteen trillion, six hundred seventy-five billion, seven hundred ninety-eight million, five hundred eighteen thousand, one hundred forty-four".