13646252664 has 192 divisors, whose sum is σ = 41086712160. Its totient is φ = 4057067520.

The previous prime is 13646252663. The next prime is 13646252677. The reversal of 13646252664 is 46625264631.

It is a happy number.

13646252664 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 62 + 526 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13646252663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13470622 + ... + 13471634.

Almost surely, 2^13646252664 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 13646252664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20543356080).

13646252664 is an abundant number, since it is smaller than the sum of its proper divisors (27440459496).

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

13646252664 is a wasteful number, since it uses less digits than its factorization.

13646252664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1335 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 13646252664 in words is "thirteen billion, six hundred forty-six million, two hundred fifty-two thousand, six hundred sixty-four".