11667162705 has 32 divisors (see below), whose sum is σ = 21436323840. Its totient is φ = 5359078080.

The previous prime is 11667162671. The next prime is 11667162707. The reversal of 11667162705 is 50726176611.

It is not a de Polignac number, because 11667162705 - 2¹¹ = 11667160657 is a prime.

It is a super-3 number, since 3×11667162705³ (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 (11667162707) 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, 1857657 + ... + 1863926.

It is an arithmetic number, because the mean of its divisors is an integer number (669885120).

Almost surely, 2^11667162705 is an apocalyptic number.

11667162705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11667162705 is a deficient number, since it is larger than the sum of its proper divisors (9769161135).

11667162705 is a wasteful number, since it uses less digits than its factorization.

11667162705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3721621.

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 11667162705 in words is "eleven billion, six hundred sixty-seven million, one hundred sixty-two thousand, seven hundred five".