13966722432 has 288 divisors, whose sum is σ = 45148947480. Its totient is φ = 4295835648.

The previous prime is 13966722397. The next prime is 13966722433. The reversal of 13966722432 is 23422766931.

13966722432 is a `hidden beast` number, since 1 + 396 + 6 + 7 + 224 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×13966722432³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13966722433) by changing a digit.

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, 5255248 + ... + 5257904.

Almost surely, 2^13966722432 is an apocalyptic number.

13966722432 is a gapful number since it is divisible by the number (12) 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 13966722432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22574473740).

13966722432 is an abundant number, since it is smaller than the sum of its proper divisors (31182225048).

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

13966722432 is an equidigital number, since it uses as much as digits as its factorization.

13966722432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2675 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 13966722432 in words is "thirteen billion, nine hundred sixty-six million, seven hundred twenty-two thousand, four hundred thirty-two".