11457817009 has 8 divisors (see below), whose sum is σ = 11512205640. Its totient is φ = 11403549696.

The previous prime is 11457817001. The next prime is 11457817039. The reversal of 11457817009 is 90071875411.

11457817009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 296528400 + 11161288609 = 17220^2 + 105647^2 .

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 11457817009 - 2³ = 11457817001 is a prime.

It is a super-2 number, since 2×11457817009² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11457817001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161877 + ... + 221629.

It is an arithmetic number, because the mean of its divisors is an integer number (1439025705).

Almost surely, 2^11457817009 is an apocalyptic number.

It is an amenable number.

11457817009 is a deficient number, since it is larger than the sum of its proper divisors (54388631).

11457817009 is an equidigital number, since it uses as much as digits as its factorization.

11457817009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60659.

The product of its (nonzero) digits is 70560, while the sum is 43.

The spelling of 11457817009 in words is "eleven billion, four hundred fifty-seven million, eight hundred seventeen thousand, nine".