13845521664 has 216 divisors, whose sum is σ = 43123167360. Its totient is φ = 4247064576.

The previous prime is 13845521629. The next prime is 13845521671. The reversal of 13845521664 is 46612554831.

13845521664 is a `hidden beast` number, since 1 + 3 + 84 + 552 + 16 + 6 + 4 = 666.

Its product of digits (691200) is a multiple of the sum of its prime divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15065397 + ... + 15066315.

Almost surely, 2^13845521664 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 13845521664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21561583680).

13845521664 is an abundant number, since it is smaller than the sum of its proper divisors (29277645696).

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

13845521664 is a wasteful number, since it uses less digits than its factorization.

13845521664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1440 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 13845521664 in words is "thirteen billion, eight hundred forty-five million, five hundred twenty-one thousand, six hundred sixty-four".