13958849280 has 144 divisors (see below), whose sum is σ = 44646797664. Its totient is φ = 3716874240.

The previous prime is 13958849279. The next prime is 13958849309. The reversal of 13958849280 is 8294885931.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13958849280.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3058200 + ... + 3062760.

It is an arithmetic number, because the mean of its divisors is an integer number (310047206).

Almost surely, 2^13958849280 is an apocalyptic number.

13958849280 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 13958849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22323398832).

13958849280 is an abundant number, since it is smaller than the sum of its proper divisors (30687948384).

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

13958849280 is an equidigital number, since it uses as much as digits as its factorization.

13958849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5382 (or 5368 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 13958849280 in words is "thirteen billion, nine hundred fifty-eight million, eight hundred forty-nine thousand, two hundred eighty".