13994731296 has 576 divisors, whose sum is σ = 52544733696. Its totient is φ = 3428352000.

The previous prime is 13994731277. The next prime is 13994731307. The reversal of 13994731296 is 69213749931.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 44998981 + ... + 44999291.

It is an arithmetic number, because the mean of its divisors is an integer number (91223496).

Almost surely, 2^13994731296 is an apocalyptic number.

13994731296 is a gapful number since it is divisible by the number (16) 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 13994731296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26272366848).

13994731296 is an abundant number, since it is smaller than the sum of its proper divisors (38550002400).

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

13994731296 is a wasteful number, since it uses less digits than its factorization.

13994731296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The spelling of 13994731296 in words is "thirteen billion, nine hundred ninety-four million, seven hundred thirty-one thousand, two hundred ninety-six".