13954332672 has 480 divisors, whose sum is σ = 48661572960. Its totient is φ = 3901685760.

The previous prime is 13954332671. The next prime is 13954332713. The reversal of 13954332672 is 27623345931.

13954332672 is a `hidden beast` number, since 1 + 3 + 9 + 543 + 32 + 6 + 72 = 666.

13954332672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (816480) is a multiple of the sum of its prime divisors (270).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13954332671) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 70834078 + ... + 70834274.

It is an arithmetic number, because the mean of its divisors is an integer number (101378277).

Almost surely, 2^13954332672 is an apocalyptic number.

13954332672 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 13954332672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24330786480).

13954332672 is an abundant number, since it is smaller than the sum of its proper divisors (34707240288).

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

13954332672 is an equidigital number, since it uses as much as digits as its factorization.

13954332672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 270 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 13954332672 in words is "thirteen billion, nine hundred fifty-four million, three hundred thirty-two thousand, six hundred seventy-two".