13548170854656 has 135 divisors (see below), whose sum is σ = 40399774588173. Its totient is φ = 4515880273920.

The previous prime is 13548170854649. The next prime is 13548170854663. The reversal of 13548170854656 is 65645807184531.

It is a happy number.

The square root of 13548170854656 is 3680784.

It is a perfect power (a square), and thus also a powerful number.

13548170854656 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 81 + 7 + 0 + 8 + 546 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13548170854649) and next prime (13548170854663).

It can be written as a sum of positive squares in only one way, i.e., 11075477504256 + 2472693350400 = 3327984^2 + 1572480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13548170854593 and 13548170854602.

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 14 ways as a sum of consecutive naturals, for example, 530020116 + ... + 530045676.

Almost surely, 2^{13548170854656} is an apocalyptic number.

13548170854656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13548170854656 is the 3680784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13548170854656

13548170854656 is an abundant number, since it is smaller than the sum of its proper divisors (26851603733517).

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

13548170854656 is an frugal number, since it uses more digits than its factorization.

13548170854656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51150 (or 25566 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 13548170854656 in words is "thirteen trillion, five hundred forty-eight billion, one hundred seventy million, eight hundred fifty-four thousand, six hundred fifty-six".