11729001123345 has 32 divisors (see below), whose sum is σ = 20752882706304. Its totient is φ = 5608887206400.

The previous prime is 11729001123319. The next prime is 11729001123349. The reversal of 11729001123345 is 54332110092711.

11729001123345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11729001123345 - 2⁹ = 11729001122833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11729001123349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486870526 + ... + 486894615.

It is an arithmetic number, because the mean of its divisors is an integer number (648527584572).

Almost surely, 2^{11729001123345} is an apocalyptic number.

11729001123345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11729001123345 is a deficient number, since it is larger than the sum of its proper divisors (9023881582959).

11729001123345 is a wasteful number, since it uses less digits than its factorization.

11729001123345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973765233.

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 11729001123345 in words is "eleven trillion, seven hundred twenty-nine billion, one million, one hundred twenty-three thousand, three hundred forty-five".