13774330944 has 336 divisors, whose sum is σ = 44249864256. Its totient is φ = 4061491200.

The previous prime is 13774330909. The next prime is 13774330949. The reversal of 13774330944 is 44903347731.

It is a super-2 number, since 2×13774330944² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13774330944.

It is not an unprimeable number, because it can be changed into a prime (13774330949) 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 47 ways as a sum of consecutive naturals, for example, 60679759 + ... + 60679985.

Almost surely, 2^13774330944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13774330944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22124932128).

13774330944 is an abundant number, since it is smaller than the sum of its proper divisors (30475533312).

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

13774330944 is a wasteful number, since it uses less digits than its factorization.

13774330944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 13774330944 in words is "thirteen billion, seven hundred seventy-four million, three hundred thirty thousand, nine hundred forty-four".