13750845696 has 243 divisors, whose sum is σ = 46252598301. Its totient is φ = 3917555712.

The previous prime is 13750845683. The next prime is 13750845767. The reversal of 13750845696 is 69654805731.

The square root of 13750845696 is 117264.

It is a perfect power (a square), and thus also a powerful number.

13750845696 is a `hidden beast` number, since 1 + 3 + 7 + 508 + 45 + 6 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10093015296 + 3657830400 = 100464^2 + 60480^2 .

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 26 ways as a sum of consecutive naturals, for example, 39400530 + ... + 39400878.

Almost surely, 2^13750845696 is an apocalyptic number.

13750845696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13750845696 is the 117264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13750845696

13750845696 is an abundant number, since it is smaller than the sum of its proper divisors (32501752605).

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

13750845696 is an frugal number, since it uses more digits than its factorization.

13750845696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 13750845696 in words is "thirteen billion, seven hundred fifty million, eight hundred forty-five thousand, six hundred ninety-six".