13666520964096 has 3168 divisors, whose sum is σ = 58345175266560. Its totient is φ = 3017303654400.

The previous prime is 13666520964059. The next prime is 13666520964137. The reversal of 13666520964096 is 69046902566631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×13666520964096² (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 287 ways as a sum of consecutive naturals, for example, 64770241431 + ... + 64770241641.

Almost surely, 2^{13666520964096} is an apocalyptic number.

13666520964096 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 13666520964096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29172587633280).

13666520964096 is an abundant number, since it is smaller than the sum of its proper divisors (44678654302464).

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

13666520964096 is a wasteful number, since it uses less digits than its factorization.

13666520964096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 13666520964096 in words is "thirteen trillion, six hundred sixty-six billion, five hundred twenty million, nine hundred sixty-four thousand, ninety-six".