13661753366016 has 480 divisors, whose sum is σ = 47092859256960. Its totient is φ = 3899150438400.

The previous prime is 13661753365943. The next prime is 13661753366033. The reversal of 13661753366016 is 61066335716631.

13661753366016 is a `hidden beast` number, since 1 + 3 + 6 + 617 + 5 + 3 + 3 + 6 + 6 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657721711 + ... + 657742481.

It is an arithmetic number, because the mean of its divisors is an integer number (98110123452).

Almost surely, 2^{13661753366016} is an apocalyptic number.

13661753366016 is a gapful number since it is divisible by the number (16) 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 13661753366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23546429628480).

13661753366016 is an abundant number, since it is smaller than the sum of its proper divisors (33431105890944).

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

13661753366016 is an equidigital number, since it uses as much as digits as its factorization.

13661753366016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21783 (or 21754 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 13661753366016 in words is "thirteen trillion, six hundred sixty-one billion, seven hundred fifty-three million, three hundred sixty-six thousand, sixteen".