11250114561729 has 96 divisors (see below), whose sum is σ = 17200722739200. Its totient is φ = 7076406685824.

The previous prime is 11250114561703. The next prime is 11250114561773. The reversal of 11250114561729 is 92716541105211.

11250114561729 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 0 + 1 + 1 + 4 + 5 + 617 + 29 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-11250114561729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11250114561779) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1222966872 + ... + 1222976070.

It is an arithmetic number, because the mean of its divisors is an integer number (179174195200).

Almost surely, 2^{11250114561729} is an apocalyptic number.

It is an amenable number.

11250114561729 is a deficient number, since it is larger than the sum of its proper divisors (5950608177471).

11250114561729 is a wasteful number, since it uses less digits than its factorization.

11250114561729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9891 (or 9888 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 11250114561729 in words is "eleven trillion, two hundred fifty billion, one hundred fourteen million, five hundred sixty-one thousand, seven hundred twenty-nine".