13961528064 has 288 divisors, whose sum is σ = 45616193280. Its totient is φ = 4228899840.

The previous prime is 13961528039. The next prime is 13961528107. The reversal of 13961528064 is 46082516931.

13961528064 is a `hidden beast` number, since 1 + 3 + 9 + 61 + 528 + 0 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6157459 + ... + 6159725.

It is an arithmetic number, because the mean of its divisors is an integer number (158389560).

Almost surely, 2^13961528064 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 13961528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22808096640).

13961528064 is an abundant number, since it is smaller than the sum of its proper divisors (31654665216).

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

13961528064 is an frugal number, since it uses more digits than its factorization.

13961528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13961528064 in words is "thirteen billion, nine hundred sixty-one million, five hundred twenty-eight thousand, sixty-four".