13682358466560 has 4608 divisors, whose sum is σ = 64908200448000. Its totient is φ = 2746786775040.

The previous prime is 13682358466493. The next prime is 13682358466603. The reversal of 13682358466560 is 6566485328631.

13682358466560 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 2 + 3 + 5 + 8 + 4 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×13682358466560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 333716060140 + ... + 333716060180.

It is an arithmetic number, because the mean of its divisors is an integer number (14085981000).

Almost surely, 2^{13682358466560} is an apocalyptic number.

13682358466560 is a gapful number since it is divisible by the number (10) 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 13682358466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32454100224000).

13682358466560 is an abundant number, since it is smaller than the sum of its proper divisors (51225841981440).

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

13682358466560 is an equidigital number, since it uses as much as digits as its factorization.

13682358466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 13682358466560 in words is "thirteen trillion, six hundred eighty-two billion, three hundred fifty-eight million, four hundred sixty-six thousand, five hundred sixty".