13645254816 has 288 divisors, whose sum is σ = 43044281280. Its totient is φ = 4237111296.

The previous prime is 13645254803. The next prime is 13645254817. The reversal of 13645254816 is 61845254631.

13645254816 is a `hidden beast` number, since 13 + 64 + 525 + 48 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (13645254817) 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, 14408455 + ... + 14409401.

It is an arithmetic number, because the mean of its divisors is an integer number (149459310).

Almost surely, 2^13645254816 is an apocalyptic number.

13645254816 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 13645254816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21522140640).

13645254816 is an abundant number, since it is smaller than the sum of its proper divisors (29399026464).

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

13645254816 is a wasteful number, since it uses less digits than its factorization.

13645254816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1078 counting only the distinct ones).

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

The spelling of 13645254816 in words is "thirteen billion, six hundred forty-five million, two hundred fifty-four thousand, eight hundred sixteen".