13508694144 has 192 divisors, whose sum is σ = 44251272000. Its totient is φ = 3915479040.

The previous prime is 13508694083. The next prime is 13508694149. The reversal of 13508694144 is 44149680531.

13508694144 is a `hidden beast` number, since 1 + 3 + 508 + 69 + 41 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×13508694144² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13508694144.

It is not an unprimeable number, because it can be changed into a prime (13508694149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268282 + ... + 314630.

It is an arithmetic number, because the mean of its divisors is an integer number (230475375).

Almost surely, 2^13508694144 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 13508694144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22125636000).

13508694144 is an abundant number, since it is smaller than the sum of its proper divisors (30742577856).

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

13508694144 is a wasteful number, since it uses less digits than its factorization.

13508694144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46403 (or 46388 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13508694144 in words is "thirteen billion, five hundred eight million, six hundred ninety-four thousand, one hundred forty-four".