13994050752 has 672 divisors, whose sum is σ = 49813585920. Its totient is φ = 3832012800.

The previous prime is 13994050727. The next prime is 13994050771. The reversal of 13994050752 is 25705049931.

It is a happy number.

13994050752 is a `hidden beast` number, since 1 + 3 + 9 + 94 + 0 + 507 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13994050698 and 13994050707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110189313 + ... + 110189439.

It is an arithmetic number, because the mean of its divisors is an integer number (74127360).

Almost surely, 2^13994050752 is an apocalyptic number.

13994050752 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 13994050752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24906792960).

13994050752 is an abundant number, since it is smaller than the sum of its proper divisors (35819535168).

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

13994050752 is a wasteful number, since it uses less digits than its factorization.

13994050752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 13994050752 in words is "thirteen billion, nine hundred ninety-four million, fifty thousand, seven hundred fifty-two".