13958643660 has 384 divisors, whose sum is σ = 45302906880. Its totient is φ = 3186376704.

The previous prime is 13958643653. The next prime is 13958643661. The reversal of 13958643660 is 6634685931.

It is a happy number.

It is a zygodrome in base 2 and base 16.

It is not an unprimeable number, because it can be changed into a prime (13958643661) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109910517 + ... + 109910643.

It is an arithmetic number, because the mean of its divisors is an integer number (117976320).

Almost surely, 2^13958643660 is an apocalyptic number.

13958643660 is a gapful number since it is divisible by the number (10) 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 13958643660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22651453440).

13958643660 is an abundant number, since it is smaller than the sum of its proper divisors (31344263220).

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

13958643660 is a wasteful number, since it uses less digits than its factorization.

13958643660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 13958643660 in words is "thirteen billion, nine hundred fifty-eight million, six hundred forty-three thousand, six hundred sixty".