13944913920 has 576 divisors, whose sum is σ = 56525510340. Its totient is φ = 3170893824.

The previous prime is 13944913909. The next prime is 13944913949. The reversal of 13944913920 is 2931944931.

13944913920 is a `hidden beast` number, since 139 + 4 + 491 + 3 + 9 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13359661056 + 585252864 = 115584^2 + 24192^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72253344 + ... + 72253536.

Almost surely, 2^13944913920 is an apocalyptic number.

13944913920 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 13944913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28262755170).

13944913920 is an abundant number, since it is smaller than the sum of its proper divisors (42580596420).

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

13944913920 is an equidigital number, since it uses as much as digits as its factorization.

13944913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 13944913920 in words is "thirteen billion, nine hundred forty-four million, nine hundred thirteen thousand, nine hundred twenty".