13941567864 has 96 divisors (see below), whose sum is σ = 43438487040. Its totient is φ = 3956904000.

The previous prime is 13941567839. The next prime is 13941567919. The reversal of 13941567864 is 46876514931.

13941567864 is a `hidden beast` number, since 1 + 39 + 41 + 567 + 8 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13941567864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15492 + ... + 167699.

It is an arithmetic number, because the mean of its divisors is an integer number (452484240).

Almost surely, 2^13941567864 is an apocalyptic number.

13941567864 is a gapful number since it is divisible by the number (14) 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 13941567864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21719243520).

13941567864 is an abundant number, since it is smaller than the sum of its proper divisors (29496919176).

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

13941567864 is a wasteful number, since it uses less digits than its factorization.

13941567864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183361 (or 183354 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 13941567864 in words is "thirteen billion, nine hundred forty-one million, five hundred sixty-seven thousand, eight hundred sixty-four".