11814000641 has 8 divisors (see below), whose sum is σ = 12105957600. Its totient is φ = 11525101120.

The previous prime is 11814000619. The next prime is 11814000659. The reversal of 11814000641 is 14600041811.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11814000641 - 2¹⁴ = 11813984257 is a prime.

It is a super-3 number, since 3×11814000641³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11814000641.

It is not an unprimeable number, because it can be changed into a prime (11814000241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 756536 + ... + 771993.

It is an arithmetic number, because the mean of its divisors is an integer number (1513244700).

Almost surely, 2^11814000641 is an apocalyptic number.

It is an amenable number.

11814000641 is a deficient number, since it is larger than the sum of its proper divisors (291956959).

11814000641 is a wasteful number, since it uses less digits than its factorization.

11814000641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528719.

The product of its (nonzero) digits is 768, while the sum is 26.

The spelling of 11814000641 in words is "eleven billion, eight hundred fourteen million, six hundred forty-one", and thus it is an aban number.