1164166505 has 16 divisors (see below), whose sum is σ = 1493299584. Its totient is φ = 869109120.

The previous prime is 1164166469. The next prime is 1164166541. The reversal of 1164166505 is 5056614611.

It is an interprime number because it is at equal distance from previous prime (1164166469) and next prime (1164166541).

It is not a de Polignac number, because 1164166505 - 2⁸ = 1164166249 is a prime.

It is a super-3 number, since 3×1164166505³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118739 + ... + 128168.

It is an arithmetic number, because the mean of its divisors is an integer number (93331224).

Almost surely, 2^1164166505 is an apocalyptic number.

It is an amenable number.

1164166505 is a deficient number, since it is larger than the sum of its proper divisors (329133079).

1164166505 is a wasteful number, since it uses less digits than its factorization.

1164166505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246976.

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 1164166505 is about 34119.8843051966. The cubic root of 1164166505 is about 1051.9740655970.

The spelling of 1164166505 in words is "one billion, one hundred sixty-four million, one hundred sixty-six thousand, five hundred five".