23166011682 has 72 divisors (see below), whose sum is σ = 55207212060. Its totient is φ = 7015377600.

The previous prime is 23166011633. The next prime is 23166011699. The reversal of 23166011682 is 28611066132.

It is a happy number.

23166011682 is a `hidden beast` number, since 2 + 31 + 6 + 601 + 16 + 8 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22515302601 + 650709081 = 150051^2 + 25509^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4834944 + ... + 4839732.

Almost surely, 2^23166011682 is an apocalyptic number.

23166011682 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23166011682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27603606030).

23166011682 is an abundant number, since it is smaller than the sum of its proper divisors (32041200378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23166011682 is a wasteful number, since it uses less digits than its factorization.

23166011682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7040 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 231660 and 11682, that added together give a palindrome (243342).

The spelling of 23166011682 in words is "twenty-three billion, one hundred sixty-six million, eleven thousand, six hundred eighty-two".