13646936318976 has 495 divisors, whose sum is σ = 41486549800377. Its totient is φ = 4468475289600.

The previous prime is 13646936318933. The next prime is 13646936319019. The reversal of 13646936318976 is 67981363964631.

It is a happy number.

The square root of 13646936318976 is 3694176.

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

13646936318976 is a `hidden beast` number, since 1 + 3 + 6 + 469 + 3 + 63 + 18 + 97 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13646936318933) and next prime (13646936319019).

It can be written as a sum of positive squares in only one way, i.e., 13111814808576 + 535121510400 = 3621024^2 + 731520^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 44 ways as a sum of consecutive naturals, for example, 107456191425 + ... + 107456191551.

Almost surely, 2^{13646936318976} is an apocalyptic number.

13646936318976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13646936318976 is the 3694176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13646936318976

13646936318976 is an abundant number, since it is smaller than the sum of its proper divisors (27839613481401).

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

13646936318976 is an frugal number, since it uses more digits than its factorization.

13646936318976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 233 counting only the distinct ones).

The product of its digits is 634894848, while the sum is 72.

The spelling of 13646936318976 in words is "thirteen trillion, six hundred forty-six billion, nine hundred thirty-six million, three hundred eighteen thousand, nine hundred seventy-six".