13546682795016 has 768 divisors, whose sum is σ = 45333795225600. Its totient is φ = 3735580197888.

The previous prime is 13546682794993. The next prime is 13546682795033. The reversal of 13546682795016 is 61059728664531.

It is a happy number.

13546682795016 is a `hidden beast` number, since 1 + 3 + 5 + 46 + 6 + 82 + 7 + 9 + 501 + 6 = 666.

It is a super-2 number, since 2×13546682795016² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8644978665 + ... + 8644980231.

It is an arithmetic number, because the mean of its divisors is an integer number (59028379200).

It is a 1-persistent number, because it is pandigital, but 2⋅13546682795016 = 27093365590032 is not.

Almost surely, 2^{13546682795016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13546682795016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22666897612800).

13546682795016 is an abundant number, since it is smaller than the sum of its proper divisors (31787112430584).

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

13546682795016 is a wasteful number, since it uses less digits than its factorization.

13546682795016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 13546682795016 in words is "thirteen trillion, five hundred forty-six billion, six hundred eighty-two million, seven hundred ninety-five thousand, sixteen".