13966924140 has 216 divisors, whose sum is σ = 47152136304. Its totient is φ = 3326572800.

The previous prime is 13966924129. The next prime is 13966924151. The reversal of 13966924140 is 4142966931.

13966924140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13966924129) and next prime (13966924151).

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2245635 + ... + 2251845.

Almost surely, 2^13966924140 is an apocalyptic number.

13966924140 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 13966924140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23576068152).

13966924140 is an abundant number, since it is smaller than the sum of its proper divisors (33185212164).

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

13966924140 is a wasteful number, since it uses less digits than its factorization.

13966924140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6301 (or 6265 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13966924140 in words is "thirteen billion, nine hundred sixty-six million, nine hundred twenty-four thousand, one hundred forty".