11667238617 has 16 divisors (see below), whose sum is σ = 16097256000. Its totient is φ = 7507840704.

The previous prime is 11667238519. The next prime is 11667238619. The reversal of 11667238617 is 71683276611.

It is not a de Polignac number, because 11667238617 - 2¹⁶ = 11667173081 is a prime.

It is a super-3 number, since 3×11667238617³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11667238619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330234 + ... + 363852.

It is an arithmetic number, because the mean of its divisors is an integer number (1006078500).

Almost surely, 2^11667238617 is an apocalyptic number.

It is an amenable number.

11667238617 is a deficient number, since it is larger than the sum of its proper divisors (4430017383).

11667238617 is a wasteful number, since it uses less digits than its factorization.

11667238617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37640.

The product of its digits is 508032, while the sum is 48.

The spelling of 11667238617 in words is "eleven billion, six hundred sixty-seven million, two hundred thirty-eight thousand, six hundred seventeen".