13961527164 has 216 divisors, whose sum is σ = 40381417440. Its totient is φ = 4040098560.

The previous prime is 13961527157. The next prime is 13961527187. The reversal of 13961527164 is 46172516931.

13961527164 is a `hidden beast` number, since 1 + 3 + 9 + 61 + 527 + 1 + 64 = 666.

It is a super-2 number, since 2×13961527164² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16640257 + ... + 16641095.

Almost surely, 2^13961527164 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 13961527164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20190708720).

13961527164 is an abundant number, since it is smaller than the sum of its proper divisors (26419890276).

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

13961527164 is a wasteful number, since it uses less digits than its factorization.

13961527164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 925 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 13961527164 in words is "thirteen billion, nine hundred sixty-one million, five hundred twenty-seven thousand, one hundred sixty-four".